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A162170 Matrix inverse of A162169. 4
1, 1, 1, 1, 0, 1, 2, 0, 3, 1, 5, 0, 6, 0, 1, 16, 0, 20, 0, 5, 1, 61, 0, 75, 0, 15, 0, 1, 272, 0, 336, 0, 70, 0, 7, 1, 1385, 0, 1708, 0, 350, 0, 28, 0, 1, 7936, 0, 9792, 0, 2016, 0, 168, 0, 9, 1, 50521, 0, 62325, 0, 12810, 0, 1050, 0, 45, 0, 1, 353792, 0, 436480, 0, 89760, 0, 7392, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

First column appears to be A000111. Third column is A162171. Row sums minus A000035 appears to be A062272.

LINKS

Table of n, a(n) for n=1..74.

EXAMPLE

Table begins:

.1

.1...1

.1...0...1

.2...0...3...1

.5...0...6...0...1

16...0..20...0...5...1

61...0..75...0..15...0...1

PROG

(PARI) T(n, k) = if (k % 2, binomial(n-1, k-1) * (-1)^floor((n+k-1)/2), if (n==k, 1 , 0));

tabl(nn) = {m = matrix(nn, nn, n, k, if (n>=k, T(n, k), 0)); m = m^(-1); for (n=1, nn, for (k=1, n, print1(m[n, k], ", "); ); print(); ); } \\ Michel Marcus, Jun 17 2015

CROSSREFS

Cf. A000111, A162171, A062272.

Sequence in context: A290982 A162517 A180876 * A266770 A282892 A008798

Adjacent sequences:  A162167 A162168 A162169 * A162171 A162172 A162173

KEYWORD

nonn,tabl

AUTHOR

Mats Granvik, Jun 27 2009

STATUS

approved

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Last modified July 21 19:13 EDT 2019. Contains 325199 sequences. (Running on oeis4.)