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A091918
Inverse of number triangle A091917.
1
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).
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
KEYWORD
nonn,tabl
AUTHOR
Paul Barry, Feb 13 2004
STATUS
approved