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A091603 Matrix inverse of triangle A091602. 3
1, -1, 1, -2, 0, 1, 0, -2, 0, 1, 1, -2, -1, 0, 1, 3, -1, -2, -1, 0, 1, 4, 0, -2, -1, -1, 0, 1, 3, 2, 0, -2, -1, -1, 0, 1, 3, 3, 0, -1, -1, -1, -1, 0, 1, 0, 4, 2, 0, -1, -1, -1, -1, 0, 1, 0, 4, 2, 1, -1, 0, -1, -1, -1, 0, 1, -3, 3, 3, 2, 1, -1, 0, -1, -1, -1, 0, 1, -4, 3, 3, 2, 1, 0, 0, 0, -1, -1, -1, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1275

EXAMPLE

Triangle begins as:

   1;

  -1,  1;

  -2,  0,  1;

   0, -2,  0,  1;

   1, -2, -1,  0,  1;

   3, -1, -2, -1,  0,  1;

   4,  0, -2, -1, -1,  0,  1;

   3,  2,  0, -2, -1, -1,  0,  1;

   3,  3,  0, -1, -1, -1, -1,  0,  1;

   0,  4,  2,  0, -1, -1, -1, -1,  0,  1;

   0,  4,  2,  1, -1,  0, -1, -1, -1,  0,  1;

  -3,  3,  3,  2,  1, -1,  0, -1, -1, -1,  0,  1;

  -4,  3,  3,  2,  1,  0,  0,  0, -1, -1, -1,  0,  1;

  -7,  2,  3,  2,  2,  1,  0,  0,  0, -1, -1, -1,  0,  1;

  -9,  1,  3,  2,  2,  1,  0,  1,  0,  0, -1, -1, -1,  0,  1;

MATHEMATICA

b[n_, i_, k_]:= b[n, i, k]= If[n==0, 1, If[i>n, 0, Sum[b[n-i*j, i+1, Min[k, Quotient[n-i*j, i+1]]], {j, 0, k}]]];

t[n_, k_]:= t[n, k]= b[n, 1, k] - b[n, 1, k-1]; (* t = A091602 *)

M:= With[{p = 30}, Table[t[n, k], {n, p}, {k, p}]];

T:= Inverse[M];

Table[T[[n, k]], {n, 15}, {k, n}]//Flatten (* G. C. Greubel, Nov 26 2021 *)

CROSSREFS

Cf. A091602, A091612 (column 1).

Sequence in context: A039997 A039995 A035232 * A325036 A194942 A129688

Adjacent sequences:  A091600 A091601 A091602 * A091604 A091605 A091606

KEYWORD

sign,tabl,changed

AUTHOR

Christian G. Bower, Jan 23 2004

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)