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A329708 Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2*x+...+(n+1)*x^n)^2. 2
1, 1, 4, 4, 1, 4, 10, 12, 9, 1, 4, 10, 20, 25, 24, 16, 1, 4, 10, 20, 35, 44, 46, 40, 25, 1, 4, 10, 20, 35, 56, 70, 76, 73, 60, 36, 1, 4, 10, 20, 35, 56, 84, 104, 115, 116, 106, 84, 49, 1, 4, 10, 20, 35, 56, 84, 120, 147, 164, 170, 164, 145, 112, 64 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Rows n = 0..99, flattened

FORMULA

T(n,k) = A000292(k+1) for k=0..n.

EXAMPLE

Triangle begins:

1;

1, 4,  4;

1, 4, 10, 12,  9;

1, 4, 10, 20, 25, 24, 16;

1, 4, 10, 20, 35, 44, 46, 40, 25;

PROG

(PARI) for(n=0, 10, print(Vecrev(sum(k=0, n, (k+1)*x^k)^2), ", "))

CROSSREFS

Cf. A000292, A002260, A084608, A329709.

Sequence in context: A213056 A135012 A156380 * A263493 A166237 A021878

Adjacent sequences:  A329705 A329706 A329707 * A329709 A329710 A329711

KEYWORD

nonn,tabf

AUTHOR

Seiichi Manyama, Feb 29 2020

STATUS

approved

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Last modified July 28 17:15 EDT 2021. Contains 346335 sequences. (Running on oeis4.)