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A084786 Row sums of the triangle (A084783) and the differences of the main diagonal (A084785) and the first column (A084784). 4
1, 3, 10, 41, 211, 1354, 10620, 99327, 1081744, 13443065, 187538132, 2899087774, 49149083790, 906169148064, 18044322039456, 385825735367745, 8814867042465387, 214270073007359704, 5520898403200292418 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In the triangle (A084783), the diagonal (A084785) is the self-convolution of the first column (A084784) and the row sums (this sequence) gives the differences of the diagonal and the first column.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..400

FORMULA

a(n) ~ n! / (2 * (log(2))^(n+2)). - Vaclav Kotesovec, Nov 19 2014

PROG

(PARI) A = matrix(25, 25); A[1, 1] = 1; rs = 1; print(1); for (n = 2, 25, sc = sum (i = 2, n - 1, A[i, 1]*A[n + 1 - i, 1]); A[n, 1] = rs - sc; rs = A[n, 1]; for (k = 2, n, A[n, k] = A[n, k - 1] + A[n - 1, k - 1]; rs += A[n, k]); print(rs)); (Wasserman)

CROSSREFS

Cf. A084783, A084784, A084785.

Sequence in context: A030942 A030855 A030954 * A156170 A245502 A009329

Adjacent sequences:  A084783 A084784 A084785 * A084787 A084788 A084789

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 13 2003

EXTENSIONS

More terms from David Wasserman, Jan 06 2005

STATUS

approved

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Last modified November 20 06:06 EST 2018. Contains 317385 sequences. (Running on oeis4.)