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A101624
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Stern-Jacobsthal numbers.
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3
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1, 1, 3, 1, 7, 5, 11, 1, 23, 21, 59, 17, 103, 69, 139, 1, 279, 277, 827, 273, 1895, 1349, 2955, 257, 5655, 5141, 14395, 4113, 24679, 16453, 32907, 1, 65815, 65813, 197435, 65809, 460647, 329029, 723851, 65793, 1512983, 1381397, 3881019, 1118225
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(2^n-1)=1, a(2n)=2a(n-1)+a(n+1)=A099902(n); a(2n+1)=A101625(n+1).
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FORMULA
| a(n)=sum{k=0..floor(n/2), mod(binomial(n-k, k), 2)*2^k}
a(n)=sum{k=0..n, (binomial(k, n-k) mod 2)*2^(n-k)} - Paul Barry (pbarry(AT)wit.ie), May 10 2005
a(n)=Sum_{k, 0<=k<=n}A106344(n,k)*2^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 18 2008]
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CROSSREFS
| Cf. A002487.
Sequence in context: A021763 A138257 A071043 * A166519 A110441 A111806
Adjacent sequences: A101621 A101622 A101623 * A101625 A101626 A101627
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Dec 10 2004
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