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A117488
The number 1 followed by 2*k+1 terms from column k of table A115994.
5
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
OFFSET
1,3
EXAMPLE
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
MAPLE
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, Feb 22 2007
CROSSREFS
KEYWORD
tabf,nonn
AUTHOR
Alford Arnold, Mar 22 2006
EXTENSIONS
More terms from R. J. Mathar, Feb 22 2007
STATUS
approved