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Search: id:A084641
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| A084641 |
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Binomial transform of n^7. |
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+0
1
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| 0, 1, 130, 2574, 25904, 183200, 1040112, 5076400, 22171648, 88915968, 333209600, 1181548544, 4001402880, 13033885696, 41061830656, 125666611200, 374947708928, 1093874155520, 3128047828992, 8785866391552, 24280799641600
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The binomial transforms of n, n^2, n^3, n^4, n^5, n^6 are A001787, A001788, A058645, A058649, A059338, A056468 respectively.
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FORMULA
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a(n)=n^2(n^5+21n^4+105n^3+35n^2 - 210n+112)2^(n - 7); a(n)=sum{k=0..n, C(n, k)k^7 }.
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CROSSREFS
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Sequence in context: A138482 A138481 A064687 this_sequence A001331 A071234 A050671
Adjacent sequences: A084638 A084639 A084640 this_sequence A084642 A084643 A084644
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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), Jun 08 2003
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