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A084136 Binomial transform of cosh(sqrt(2)x)^2. +0
2
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; listen)
OFFSET

0,3

COMMENT

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

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

CROSSREFS

Cf. A084137.

Sequence in context: A149550 A149551 A149552 this_sequence A091147 A149553 A149554

Adjacent sequences: A084133 A084134 A084135 this_sequence A084137 A084138 A084139

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 16 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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