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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 (list; table; graph; refs; listen; history; text; internal format)
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: A290650 A089606 A140740 * A177953 A138895 A138846

Adjacent sequences:  A091915 A091916 A091917 * A091919 A091920 A091921

KEYWORD

nonn,tabl

AUTHOR

Paul Barry, Feb 13 2004

STATUS

approved

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Last modified January 25 23:08 EST 2020. Contains 331270 sequences. (Running on oeis4.)