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Search: id:A070775
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| A070775 |
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Sum(binomial(4*n,4*k),k=0..n). |
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+0
7
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| 1, 2, 72, 992, 16512, 261632, 4196352, 67100672, 1073774592, 17179738112, 274878431232, 4398044413952, 70368752566272, 1125899873288192, 18014398643699712, 288230375614840832, 4611686020574871552
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OFFSET
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0,2
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FORMULA
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1/2*(-4)^n+1/4*16^n
Let b(n)=a(n)-2^(4n)/4 then b(n+1)=4*b(n) - Benoit Cloitre (benoit7848c(AT)orange.fr), May 27 2004
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PROGRAM
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(PARI) a(n)=sum(k=0, n, binomial(4*n, 4*k))
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CROSSREFS
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Adjacent sequences: A070772 A070773 A070774 this_sequence A070776 A070777 A070778
Sequence in context: A055030 A053318 A030993 this_sequence A051443 A123072 A099681
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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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