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Search: id:A166515
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A166515 Partial sum of A166514. +0
1
0, 1, 2, 2, 4, 5, 8, 8, 12, 13, 18, 18, 24, 25, 32, 32, 40, 41, 50, 50, 60, 61, 72, 72, 84, 85, 98, 98, 112, 113, 128, 128, 144, 145, 162, 162, 180, 181, 200, 200, 220, 221, 242, 242, 264, 265, 288, 288, 312, 313, 338, 338, 364, 365, 392, 392, 420, 421, 450, 450, 480 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: x(1+x-x^2+x^3)/((1+x)^2*(1-x)^3*(1+x^2)).

a(n)=(2n^2+6n+5)/16+(2n-1)*(-1)^n/16-sqrt(2)*cos(pi*n/2+pi/4)/4.

CROSSREFS

Sequence in context: A098859 A034398 A027069 this_sequence A069906 A053097 A035946

Adjacent sequences: A166512 A166513 A166514 this_sequence A166516 A166517 A166518

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 16 2009

page 1

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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