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Search: id:A137361
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| A137361 |
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Sum_{k <= n/2 } k*binomial(n-2k, 3k+2). |
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+0
8
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| 0, 0, 0, 0, 0, 0, 0, 1, 6, 21, 56, 126, 254, 480, 882, 1617, 2992, 5580, 10410, 19292, 35400, 64343, 116128, 208701, 374226, 670095, 1198164, 2138423, 3808148, 6766089, 11996042, 21229790, 37513896, 66202347, 116692472, 205458357, 361349662, 634845141, 1114205988
(list; graph; listen)
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OFFSET
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0,9
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REFERENCES
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D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.4.
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FORMULA
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G.f.: x^7/(x^5+x^3-3*x^2+3*x-1)^2. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 23 2008]
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MAPLE
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a:= n-> (Matrix (10, (i, j)-> if i=j-1 then 1 elif j=1 then [6, -15, 20, -15, 8, -7, 6, -2, 0, -1][i] else 0 fi)^n)[1, 8]: seq (a(n), n=0..50); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 23 2008]
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CROSSREFS
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Cf. A137356-A137360, A136444.
Sequence in context: A006090 A019500 A100356 this_sequence A058484 A145455 A145134
Adjacent sequences: A137358 A137359 A137360 this_sequence A137362 A137363 A137364
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KEYWORD
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nonn
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AUTHOR
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D. E. Knuth, Apr 11 2008
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