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Search: id:A084172
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A084172 Generalized Jacobsthal numbers. +0
4
1, 2, 4, 9, 19, 40, 82, 167, 337, 678, 1360, 2725, 5455, 10916, 21838, 43683, 87373, 174754, 349516, 699041, 1398091, 2796192, 5592394, 11184799, 22369609, 44739230, 89478472, 178956957, 357913927, 715827868, 1431655750, 2863311515 (list; graph; listen)
OFFSET

0,2

COMMENT

A084172(n)-A083579(n)=A001045(n+1).

Sums of rows of the triangle in A109225. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 23 2005

FORMULA

a(n+2)=a(n+1)+2a(n)+n, a(0)=0, a(1)=2; a(n)=2^(n+2)/3-(-1)^n/12-(2n+1)/4;

CROSSREFS

Sequence in context: A018001 A018099 A011955 this_sequence A018100 A052908 A036616

Adjacent sequences: A084169 A084170 A084171 this_sequence A084173 A084174 A084175

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 18 2003

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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