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Search: id:A084174
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| A084174 |
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Generalized Jacobsthal numbers. |
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+0
5
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| 1, 1, 3, 6, 14, 29, 61, 124, 252, 507, 1019, 2042, 4090, 8185, 16377, 32760, 65528, 131063, 262135, 524278, 1048566, 2097141, 4194293, 8388596, 16777204, 33554419, 67108851, 134217714, 268435442, 536870897, 1073741809, 2147483632
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A084172(n)-A084174(n)=A001045(n).
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FORMULA
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a(n+2)=a(n+1)+2a(n)+n, a(0)=1, a(1)=1; a(n)=2^n+(-1)^n/4-(2n+1)/4.
a(n)=floor(2^n-n(n+1)/2),n>=0 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007
Row sums of triangle A131087. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 14 2007
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MAPLE
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seq(floor(2^n-n(n+1)/2), n=0..31); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007
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CROSSREFS
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Cf. A131087.
Adjacent sequences: A084171 A084172 A084173 this_sequence A084175 A084176 A084177
Sequence in context: A055890 A038359 A038360 this_sequence A036658 A077067 A083797
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 18 2003
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