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Search: id:A117488
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| A117488 |
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The number 1 followed by 2*k+1 terms from column k of table A115994. |
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+0 5
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| 1, 1, 2, 3, 1, 2, 5, 8, 14, 1, 2, 5, 10, 18, 30, 49, 1, 2, 5, 10, 20, 34, 59, 94, 149, 1, 2, 5, 10, 20, 36, 63, 104, 169, 264, 405, 1, 2, 5, 10, 20, 36, 65, 108, 179, 284, 445, 676, 1017, 1, 2, 5, 10, 20, 36, 65, 110, 183, 294, 465, 716, 1089, 1622, 2387, 1, 2, 5, 10, 20, 36, 65
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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Column two of table A115994 begins 1 2 5 8 14 20 30 ... A006918
so row three of A117488 is 1 2 5 8 14.
Triangle starts
1
1 2 3
1 2 5 8 14
1 2 5 10 18 30 49
1 2 5 10 20 34 59 94 149
1 2 5 10 20 36 63 104 169 264 405
1 2 5 10 20 36 65 108 179 284 445 676 1017
1 2 5 10 20 36 65 110 183 294 465 716 1089 1622 2387
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MAPLE
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A026820 := proc(n, k) if k > n then combinat[numbpart](n, n) ; else combinat[numbpart](n, k) ; fi ; end: A115994 := proc(n, k) local i ; add(A026820(i, k)*A026820(n-k^2-i, k), i=0..n-k^2) ; end: A117488 := proc(n, k) if k >= 2*n then 0 ; else if n = 1 then 1; else A115994(k+n^2-2*n, n-1) ; fi ; fi ; end: for n from 1 to 10 do for k from 1 to 2*n-1 do printf("%d ", A117488(n, k)) ; od ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 22 2007
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CROSSREFS
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Cf. A006918, A115994, A117489.
Sequence in context: A053452 A023986 A109202 this_sequence A131108 A128255 A154948
Adjacent sequences: A117485 A117486 A117487 this_sequence A117489 A117490 A117491
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KEYWORD
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tabf,nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Mar 22 2006
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 22 2007
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