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A038602 One half of convolution of central binomial coefficients A000984(n) with A000984(n+2), n >= 0. +0
1
3, 16, 73, 316, 1334, 5552, 22901, 93892, 383290, 1559680, 6331098, 25649976, 103758828, 419195552, 1691825933, 6822051092, 27488564498, 110691186272, 445487285678, 1792047789512, 7205785665908, 28963557761312 (list; graph; listen)
OFFSET

0,1

COMMENT

Also convolution of A000346 with Catalan numbers but with C(0)=1 replaced by 3

FORMULA

a(n) = 2^(2*n+3)-(3*n+5)*C(n+1), C(n): Catalan numbers A000108; G.f. c(x)*(c(x)+2)/(1-4*x), c(x): G.f. for Catalan numbers.

CROSSREFS

Cf. A000108, A000346.

Sequence in context: A015524 A012279 A037098 this_sequence A004303 A005947 A003769

Adjacent sequences: A038599 A038600 A038601 this_sequence A038603 A038604 A038605

KEYWORD

easy,nonn

AUTHOR

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

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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