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Search: id:A086445
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A086445 Partial sums of A005578. +0
1
1, 2, 4, 7, 13, 24, 46, 89, 175, 346, 688, 1371, 2737, 5468, 10930, 21853, 43699, 87390, 174772, 349535, 699061, 1398112, 2796214, 5592417, 11184823, 22369634, 44739256, 89478499, 178956985, 357913956, 715827898, 1431655781, 2863311547 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n)=A000975(n)+A008619(n).

FORMULA

G.f.: (1-x-x^2)/((1+x)(1-x)^2(1-2x)); a(n)=2*2^n/3+(-1)^n/12+n/2+1/4.

a(0) = 1, a(n) = floor(2*a(n-1) - n/2 + 1) for n > 0 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 31 2004

CROSSREFS

Sequence in context: A018184 A018185 A005255 this_sequence A127602 A113291 A102112

Adjacent sequences: A086442 A086443 A086444 this_sequence A086446 A086447 A086448

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 20 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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