A038679 Convolution of A007054 (Super ballot numbers) with A000302 (powers of 4).

3, 14, 59, 242, 982, 3964, 15955, 64106, 257282, 1031780, 4135518, 16569204, 66365964, 265761016, 1064046979, 4259609626, 17050224394, 68241838036, 273110643754, 1092947507356, 4373580244084, 17500703480776

Offset

0,1

Comments

Also: convolution of A038665 with A000984 (central binomial coefficients )

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = 4^(n+1) - C(n+1), C(n): Catalan numbers A000108; G.f. c(x)*(4-c(x))/(1-4*x), where c(x) = g.f. for Catalan numbers.

Crossrefs

A007054, A000302, A000108, A038665, A000984.

Sequence in context: A126875 A110526 A319857 * A151235 A151236 A006224

Adjacent sequences: A038676 A038677 A038678 * A038680 A038681 A038682

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved