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A113281 Self-convolution equals A113224. 4
1, 1, 3, 5, 11, 23, 51, 113, 255, 579, 1325, 3047, 7039, 16319, 37951, 88489, 206799, 484255, 1135969, 2668951, 6279509, 14793169, 34889553, 82372723, 194664283, 460436551, 1089943229, 2582033519, 6120967411, 14519686915, 34463104999 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Convolution of bisections A113283 and A113284 yields A082639, which is a bisection of the self-convolution of this sequence. Terms of the logarithmic derivative A113282 are related to the self-convolution A113224 by: A113282(2*n) = A113224(2*n), A113282(4*n+1) = 3 + A113224(4*n+1), A113282(4*n+3) = 1 + A113224(4*n+3).
LINKS
FORMULA
G.f.: A(x) = ( (1+x^2)/(1-x^2)/(1-2*x-x^2) )^(1/2).
a(n) ~ (1 + sqrt(2))^(n + 1/2) / sqrt(2*Pi*n). - Vaclav Kotesovec, Oct 18 2020
CROSSREFS
Sequence in context: A077229 A335098 A018113 * A037446 A113151 A269964
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 22 2005
STATUS
approved

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Last modified June 22 12:21 EDT 2024. Contains 373571 sequences. (Running on oeis4.)