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Search: id:A054090
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| A054090 |
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Triangular array generated by its row sums: T(n,0)=1 for n >= 0, T(n,1)=r(n-1), T(n,k)=T(n,k-1)+d*r(n-k), d=(-1)^(k+1), for k=2,3,...,n, n >= 2, r(h)=sum of the numbers in row h of T. |
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+0
11
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| 1, 1, 1, 1, 2, 1, 1, 4, 2, 3, 1, 10, 6, 8, 7, 1, 32, 22, 26, 24, 25, 1, 130, 98, 108, 104, 106, 105, 1, 652, 522, 554, 544, 548, 546, 547, 1, 3914, 3262, 3392, 3360, 3370, 3366, 3368, 3367, 1, 27400, 23486, 24138, 24008, 24040, 24030, 24034, 24032, 24033, 1
(list; table; graph; listen)
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OFFSET
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0,5
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EXAMPLE
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Rows: {1}, {1,1}, {1,2,1}, {1,4,2,3}, ...
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PROGRAM
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(PARI) {T(n, k)= local(A); if(k<0|k>n, 0, if(k==0, 1, A=vector(n, i, (i>1)+1); for(i=2, n-1, A[i+1]=(i-1)*A[i]+2); sum(i=0, k-1, (-1)^i*A[n-i])))} /* Michael Somos Nov 19 2006 */
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CROSSREFS
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Row sums give A054091.
Sequence in context: A064191 A127420 A129033 this_sequence A122517 A123199 A157125
Adjacent sequences: A054087 A054088 A054089 this_sequence A054091 A054092 A054093
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KEYWORD
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nonn,tabl,eigen
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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