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A080610 Partial sums of Jacobsthal gap sequence. +0
4
0, 1, 4, 5, 20, 21, 84, 85, 340, 341, 1364, 1365, 5460, 5461, 21844, 21845, 87380, 87381, 349524, 349525, 1398100, 1398101, 5592404, 5592405, 22369620, 22369621, 89478484, 89478485, 357913940, 357913941, 1431655764, 1431655765, 5726623060 (list; graph; listen)
OFFSET

0,3

FORMULA

a(2n-1)=A001045(2n)=A002450(n) a(2n)=A001045(2n)-1=A002450(n)-1

G.f. x(1+4x)/((1-x^2)*(1-4x^2)). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 16 2003

a(n)=2^n+(-2)^n/3-(-1)^n/2-5/6. - Paul Barry (pbarry(AT)wit.ie), Apr 22 2004

CROSSREFS

Cf. A080924.

Sequence in context: A099897 A050251 A125995 this_sequence A047175 A133632 A059182

Adjacent sequences: A080607 A080608 A080609 this_sequence A080611 A080612 A080613

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 26 2003

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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