A000079
identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.
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A028326: Twice Pascal's triangle A007318: T(n,k) = 2*C(n,k).
(match row sums)
2 · 2, 2 · 2, 4, 2 · 2, 6, 6, 2 … row sums 2, 4, 8, 16, 32, 64, 128, 256, …
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A028326 → Veronese 2
(match row sums)
2 · 2 · 2, 2 · 2, 6 … row sums 2, 2, 4, 8, 16, 32, 64, 128, …
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A159854 → Veronese 2 (j=1)
(match row sums)
0, 1 · 0, 2 · 0, 3, 1 · 0, 4, 4 … row sums 0, 1, 2, 4, 8, 16, 32, 64, …
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A007318 → Veronese 2 (j=1)
(match row sums)
1 · 2 · 3, 1 · 4, 4 … row sums 0, 1, 2, 4, 8, 16, 32, 64, …
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A118424: Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 001 (n,k>=0).
(match row sums)
A102547 → x ↦ (1/8)x−1/81 · 2 · 4 · 7, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A130123 → reverse
(match row sums)
1 · 2 · 4 · 8 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A274496 → Veronese 2 (j=1)
(match row sums)
2 · 4 · 8 · 16 … row sums 0, 0, 2, 4, 8, 16, 32, 64, …
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Riordan array (1-x,x/(1-x)).
(match row sums)
0, 0, 1 · 0, 0, 1, 1 · 0, 0, 1, 2, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A118884: Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0011 (n,k>=0).
(match row sums)
A318772 → x ↦ (1/48)x−1/481 · 2 · 4 · 8 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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basis-map coefficients of A026729 → basis A007318
(match row sums)
1 · 1, 1 · 1, 2, 1 · 1, 3, 3, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A130123: Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros followed by the term 2^k. Triangle by columns, (2^k, 0, 0, 0, ...).
(match row sums)
1 · 0, 2 · 0, 0, 4 · 0, 0, 0, 8 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A274496: Triangle read by rows: T(n,k) is the number of binary words of length n having degree of asymmetry equal to k (n >= 0; 0 <= k <= n/2).
(match row sums)
1 · 2 · 2, 2 · 4, 4 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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A028326 → Veronese 2 (j=1)
(match row sums)
2 · 4 · 6, 2 · 8, 8 … row sums 0, 2, 4, 8, 16, 32, 64, 128, …
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A007318: Binomial
(match row sums)
1 · 1, 1 · 1, 2, 1 · 1, 3, 3, 1 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …
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basis-map coefficients of A112227 → x ↦ x+1
(match row sums)
1, 2, 1 · 1, 3, 3, 1 · 1, 4, 6, 4, 1 … row sums 4, 8, 16, 32, 64, 128, 256, 512, …
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A274496 → Veronese 2
(match row sums)
1 · 2 · 2 · 4 … row sums 1, 2, 2, 4, 8, 16, 32, 64, …
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A034867: Triangle of odd-numbered terms in rows of Pascal's triangle.
(match row sums)
A011973 → x ↦ (1/4)x−1/41 · 2 · 3, 1 · 4, 4 … row sums 1, 2, 4, 8, 16, 32, 64, 128, …