A132089 Triangle T, read by rows, equal to the matrix square of Losanitsch's triangle (A034851).

1, 2, 1, 3, 2, 1, 6, 6, 4, 1, 10, 12, 12, 4, 1, 20, 30, 36, 18, 6, 1, 36, 62, 92, 56, 27, 6, 1, 72, 144, 246, 188, 110, 36, 8, 1, 136, 304, 600, 536, 380, 152, 48, 8, 1, 272, 680, 1504, 1576, 1296, 644, 248, 60, 10, 1, 528, 1448, 3576, 4256, 4008, 2332, 1080, 320, 75, 10

Offset

0,2

Comments

Conjectures: (1) The first column equals the row sums of Losanitsch's triangle (which equals A005418). (2) Let L^n denote the n-th power of Losanitsch's triangle. Then the first column of L^(n+1) equals the row sums of L^n.

Links

Table of n, a(n) for n=0..64.

Prog

(PARI) s=13; L=matrix(s, s); T(n, k)= (1/2) *(binomial(n, k)+binomial(n%2, k%2)*binomial(n\2, k\2)); for(n=1, s, for(k=1, s, L[n, k]=T(n-1, k-1))); L2=L*L; for(n=1, s, for(k=1, n, print1(L2[n, k], ", ")));

Crossrefs

Cf. A034851, A005418.

Sequence in context: A070979 A363272 A054098 * A321155 A185624 A162387

Adjacent sequences: A132086 A132087 A132088 * A132090 A132091 A132092

Keyword

easy,nonn,tabl

Author

Gerald McGarvey, Oct 30 2007

Status

approved