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A046658 Triangle related to A001700 and A000302 (powers of 4). 1
1, 3, 1, 10, 7, 1, 35, 38, 11, 1, 126, 187, 82, 15, 1, 462, 874, 515, 142, 19, 1, 1716, 3958, 2934, 1083, 218, 23, 1, 6435, 17548, 15694, 7266, 1955, 310, 27, 1, 24310, 76627, 80324, 44758, 15086, 3195, 418, 31, 1, 92378, 330818, 397923 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..48.

FORMULA

a(n, m) = binomial(n, m-1)*(binomial(2*n, n)/binomial(2*(m-1), m-1) - 4^(n-m+1)*(m-1)/n)/2, n >= m >= 1. G.f. for column m: x*c(x)*((x/(1-4*x))^(m-1))/sqrt(1-4*x); c(x = g.f. for Catalan numbers (A000108).

CROSSREFS

Column sequences for m=1..6: A001700, A000531, A029887, A045724, A045492, A045530. Row sums: A046885.

Sequence in context: A107056 A116384 A117207 * A124574 A322383 A295856

Adjacent sequences:  A046655 A046656 A046657 * A046659 A046660 A046661

KEYWORD

easy,nonn,tabl

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified October 21 01:18 EDT 2019. Contains 328291 sequences. (Running on oeis4.)