A091918 Inverse of number triangle A091917.

1, 2, 1, 4, 2, 1, 8, 3, 3, 1, 16, 4, 6, 4, 1, 32, 5, 10, 10, 5, 1, 64, 6, 15, 20, 15, 6, 1, 128, 7, 21, 35, 35, 21, 7, 1, 256, 8, 28, 56, 70, 56, 28, 8, 1, 512, 9, 36, 84, 126, 126, 84, 36, 9, 1, 1024, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 2048, 11, 55, 165, 330, 462, 462, 330

Offset

0,2

Comments

Essentially, Pascal's triangle A007318 with first column of 1's replaced by 2^n Row sums are A000225(n+1). Diagonal sums are A000225(n) + A000045(n).

Links

Table of n, a(n) for n=0..73.

Formula

Binomial transform of triangle A103451: (1; 1,1; 1,0,1; 1,0,0,1; ...). - Gary W. Adamson, Aug 08 2007

Crossrefs

Cf. A103451.

Sequence in context: A348533 A089606 A140740 * A177953 A138895 A138846

Adjacent sequences: A091915 A091916 A091917 * A091919 A091920 A091921

Keyword

nonn,tabl

Author

Paul Barry, Feb 13 2004

Status

approved