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A054090 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. 10
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; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..55.

EXAMPLE

Rows: {1}, {1,1}, {1,2,1}, {1,4,2,3}, ...

PROG

(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 */

CROSSREFS

Row sums give A054091.

Sequence in context: A064191 A127420 A129033 * A239456 A122517 A256098

Adjacent sequences:  A054087 A054088 A054089 * A054091 A054092 A054093

KEYWORD

nonn,tabl,eigen

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified October 17 14:25 EDT 2018. Contains 316281 sequences. (Running on oeis4.)