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

Author

Paul Barry, Feb 13 2004

Keywords

• nonn
• tabl

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).

Crossrefs

Cf. A103451.

Formula

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