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Search: id:A124848
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| A124848 |
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Triangle read by rows: T(n,k)=(k+1)(k+2)(k+3)binom(n,k)/6 (0<=k<=n). |
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1
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| 1, 1, 4, 1, 8, 10, 1, 12, 30, 20, 1, 16, 60, 80, 35, 1, 20, 100, 200, 175, 56, 1, 24, 150, 400, 525, 336, 84, 1, 28, 210, 700, 1225, 1176, 588, 120, 1, 32, 280, 1120, 2450, 3136, 2352, 960, 165, 1, 36, 360, 1680, 4410, 7056, 7056, 4320, 1485, 220, 1, 40, 450, 2400, 7350
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Sum of entries in row n = (2^n/48)(n+4)(n^2+11n+12) = A049612(n+1)
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EXAMPLE
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Triangle starts:
1;
1,4;
1,8,10;
1,12,30,20;
1,16,60,80,35;
1,20,100,200,175,56;
1,24,150,400,525,336,84;
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MAPLE
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T:=(n, k)->(k+1)*(k+2)*(k+3)*binomial(n, k)/6: for n from 0 to 10 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
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CROSSREFS
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Cf. A000292, A049612.
Sequence in context: A122914 A016689 A105533 this_sequence A090219 A125129 A013611
Adjacent sequences: A124845 A124846 A124847 this_sequence A124849 A124850 A124851
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 10 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 02 2006
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