A090844 Square array of numbers read by antidiagonals with T(n,k)=((k+3)(k+1)^n-2*0^n)/(k+1)

1, 1, 3, 1, 4, 3, 1, 5, 8, 3, 1, 6, 15, 16, 3, 1, 7, 24, 45, 32, 3, 1, 8, 35, 96, 135, 64, 3, 1, 9, 48, 175, 384, 405, 128, 3, 1, 10, 63, 288, 875, 1536, 1215, 256, 3, 1, 11, 80, 441, 1728, 4375, 6144, 3645, 512, 3, 1, 12, 99, 640, 3087, 10368, 21875, 24576, 10935, 1024, 3, 1

Offset

0,3

Comments

Rows are inverse binomial transforms of rows of array A090842.

References

L. He, X. Liu and G. Strang, (2003) Trees with Cantor Eigenvalue Distribution. Studies in Applied Mathematics 110 (2), 123-138

Links

Table of n, a(n) for n=0..66.

Example

Rows begin
1 3 3 3 3 ...
1 4 8 16 32 ...
1 5 15 45 135 ...
1 6 24 96 384 ...
1 7 35 175 875 ...

Crossrefs

Sequence in context: A337209 A101038 A064883 * A008314 A104568 A030758

Adjacent sequences: A090841 A090842 A090843 * A090845 A090846 A090847

Keyword

easy,nonn,tabl

Author

Paul Barry, Dec 09 2003

Status

approved