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Search: id:A100308
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| A100308 |
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Modulo 2 binomial transform of 5^n. |
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+0
5
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| 1, 6, 26, 156, 626, 3756, 16276, 97656, 390626, 2343756, 10156276, 60937656, 244531876, 1467191256, 6357828776, 38146972656, 152587890626, 915527343756, 3967285156276, 23803710937656, 95520019531876, 573120117191256
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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5^n be retrieved through 5^n=sum{k=0..n, (-1)^A010060(n-k)*mod(binomial(n,k),2)A100308(k)}.
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FORMULA
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a(n)=sum{k=0..n, mod(binomial(n, k), 2)5^k}.
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CROSSREFS
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Cf. A001316, A001317, A038183, A100307, A100309, A100310, A100311.
Adjacent sequences: A100305 A100306 A100307 this_sequence A100309 A100310 A100311
Sequence in context: A046233 A140231 A144037 this_sequence A049040 A103649 A053946
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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), Dec 06 2004
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