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Search: id:A038679
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A038679 Convolution of A007054 (Super ballot numbers) with A000302 (powers of 4). +0
3
3, 14, 59, 242, 982, 3964, 15955, 64106, 257282, 1031780, 4135518, 16569204, 66365964, 265761016, 1064046979, 4259609626, 17050224394, 68241838036, 273110643754, 1092947507356, 4373580244084, 17500703480776 (list; graph; listen)
OFFSET

0,1

COMMENT

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

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: A133444 A126875 A110526 this_sequence A006224 A131262 A006502

Adjacent sequences: A038676 A038677 A038678 this_sequence A038680 A038681 A038682

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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