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Search: id:A063419
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| A063419 |
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Central sextinomial coefficients. |
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+0
2
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| 1, 6, 146, 4332, 135954, 4395456, 144840476, 4836766584, 163112472594, 5542414273884, 189456975899496, 6507792553644256, 224442843729333276, 7766945604528200460, 269557528994032024080, 9378595792117360310832
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OFFSET
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0,2
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COMMENT
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Largest coefficient of sum(x^j,j=0..5)^(2*n). a(n)= A018901(2*n).
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FORMULA
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a(n)= A063260(2*n, 5*n)= [x^(5*n)]sum(x^j, j=0..5)^(2*n).
a(n) = sum((-1)^(k)*binomial(2*n,k)*binomial(7*n-6*k-1, 2*n-1), k=0..floor(5*n/6)) - Warut Roonguthai (warut822(AT)yahoo.com), May 22 2006
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CROSSREFS
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Central q-nomial coefficients (appearing once) for q=2..5: A000984, A002426, A005721, A005191. For q=7: A025012.
Sequence in context: A133460 A041271 A121473 this_sequence A099185 A065986 A012791
Adjacent sequences: A063416 A063417 A063418 this_sequence A063420 A063421 A063422
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 24 2001
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