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Search: id:A070832
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| A070832 |
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a(n)=Sum_{k=0..n} binomial(8*n,8*k). |
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+0
2
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| 1, 2, 12872, 1470944, 622116992, 125858012672, 36758056208384, 8793364151263232, 2334899414608412672, 586347560750962049024, 151652224498623981289472, 38612725801339748322639872
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Let b(n)=a(n)-2^(8*n)/8 then b(n)+120*b(n-1)-2160*b(n-2)-256*b(n-3)=0. - Benoit Cloitre (benoit7848c(AT)orange.fr), May 27 2004
1/4*16^n + 1/8*256^n + 1/4*(-68 + 48*sqrt(2))^n + 1/4*(-68-48*sqrt(2))^n.
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PROGRAM
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(PARI) a(n)=sum(k=0, n, binomial(8*n, 8*k)). - Benoit Cloitre (benoit7848c(AT)orange.fr), May 27 2004
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CROSSREFS
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Cf. A070967, A070782, A070775.
Adjacent sequences: A070829 A070830 A070831 this_sequence A070833 A070834 A070835
Sequence in context: A082912 A083973 A094212 this_sequence A124364 A123692 A132942
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KEYWORD
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easy,nonn
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AUTHOR
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Sebastian Gutierrez and Sarah Kolitz (skolitz(AT)mit.edu), May 15 2002
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EXTENSIONS
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Edited by njas at the suggestion of Andrew Plewe, Jun 15 2007
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