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A084136 Binomial transform of cosh(sqrt(2)x)^2. 1
1, 1, 5, 13, 57, 201, 797, 2997, 11569, 44113, 169205, 647197, 2478825, 9488025, 36327821, 139071813, 532438369, 2038379425, 7803827429, 29876310829, 114379413657, 437893003113, 1676441901821, 6418134825429, 24571362963601 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n)=(A084058(n)+1)/2.

LINKS

Table of n, a(n) for n=0..24.

Index to sequences with linear recurrences with constant coefficients, signature (3,5,-7).

FORMULA

a(n)=(1+sqrt(8))^n/4+(1-sqrt(8))^n/4+1/2; E.g.f.: exp(x)cosh(sqrt(2)x)^2.

G.f. -(1+x)*(3*x-1) / ( (x-1)*(7*x^2+2*x-1) ). - R. J. Mathar, Nov 09 2012

CROSSREFS

Cf. A084137.

Sequence in context: A149550 A149551 A149552 * A091147 A149553 A149554

Adjacent sequences:  A084133 A084134 A084135 * A084137 A084138 A084139

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 16 2003

STATUS

approved

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Last modified June 18 17:38 EDT 2013. Contains 226355 sequences.