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Search: id:A118394
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| A118394 |
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Triangle, read by rows of [(n-1)/3+1] terms, where T(n,k)=n!/k!/(n-3*k)! for n>=3*k>=0. |
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+0
3
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| 1, 1, 1, 1, 6, 1, 24, 1, 60, 1, 120, 360, 1, 210, 2520, 1, 336, 10080, 1, 504, 30240, 60480, 1, 720, 75600, 604800, 1, 990, 166320, 3326400, 1, 1320, 332640, 13305600, 19958400, 1, 1716, 617760, 43243200, 259459200, 1, 2184, 1081080, 121080960
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums form A118395. Eigenvector is A118396.
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FORMULA
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E.g.f.: A(x,y) = exp(x + y*x^3).
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EXAMPLE
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Triangle begins:
1;
1;
1;
1,6;
1,24;
1,60;
1,120,360;
1,210,2520;
1,336,10080;
1,504,30240,60480;
1,720,75600,604800;
1,990,166320,3326400;
1,1320,332640,13305600,19958400; ...
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PROGRAM
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(PARI) T(n, k)=if(n<3*k|k<0, 0, n!/k!/(n-3*k)!)
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CROSSREFS
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Cf. A118395 (row sums), A118396 (eigenvector); variants: A059344, A118931.
Sequence in context: A096130 A120666 A050300 this_sequence A145629 A118933 A046212
Adjacent sequences: A118391 A118392 A118393 this_sequence A118395 A118396 A118397
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 07 2006
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