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A038498 Matrix inverse of partition triangle A008284. 24
1, -1, 1, 0, -1, 1, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 1, 0, -1, -1, 1, -1, 0, 2, 0, 0, -1, -1, 1, 0, -1, 0, 2, 0, 0, -1, -1, 1, 0, -2, 1, 1, 1, 0, 0, -1, -1, 1, 1, -2, -1, 1, 1, 1, 0, 0, -1, -1, 1, 1, -1, -2, 0, 2, 0, 1, 0, 0, -1, -1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,31

COMMENTS

Since A008284 has only ones in its first column, the sum of terms for any row n > 1 is 0. - François Marques, Feb 09 2021

LINKS

Table of n, a(n) for n=1..78.

FORMULA

T(n,n-k) = A010815(k) for k <= n/2. - François Marques, Feb 09 2021

EXAMPLE

Triangle begins:

  1;

  -1,1;

  0,-1,1;

  1,-1,-1,1;

  ...

PROG

(PARI) tp(n, k) = if (n<1, 0, if (k<1, 0, if (k == n, 1, if (k > n, 0, tp(n-1, k-1) + tp(n-k, k)))));

tabl(nn) = {mtp = matrix(nn, nn, n, k, tp(n, k)); mtpi = mtp^(-1); for (n = 1, nn, for (k = 1, n, print1(mtpi[n, k], ", "); ); print(); ); } \\ Michel Marcus, Mar 04 2014

CROSSREFS

Cf. A008284, A038497, A039800-A039810, A010815.

Sequence in context: A065716 A079409 A114643 * A319510 A257217 A184154

Adjacent sequences:  A038495 A038496 A038497 * A038499 A038500 A038501

KEYWORD

sign,tabl

AUTHOR

Christian G. Bower, Feb 15 1999

STATUS

approved

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Last modified May 19 23:40 EDT 2022. Contains 353847 sequences. (Running on oeis4.)