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A125027 Binomial transform of the "1,2,3..." triangle. 0
1, 3, 3, 9, 11, 6, 26, 32, 27, 10, 72, 86, 85, 54, 15, 192, 222, 233, 189, 95, 21, 496, 558, 597, 549, 371, 153, 28, 1248, 1374, 1473, 1446, 1160, 664231, 36 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Left border, (1, 3, 9, 26, 72, 192...) = A072863, A121286.

FORMULA

Given the triangle (natural numbers in succession: 1; 2,3; 4,5,6;...) as an infinite matrix M and P = Pascal's triangle as a lower triangular matrix, perform P*M, deleting the zeros.

EXAMPLE

First few rows of the triangle are:

1;

3, 3;

9, 11, 6;

26, 32, 27, 10;

72, 86, 85, 54, 15;

...

CROSSREFS

Cf. A072863, A121286.

Sequence in context: A121072 A133164 A022156 * A005296 A124281 A146153

Adjacent sequences:  A125024 A125025 A125026 * A125028 A125029 A125030

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 15 2006

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Last modified February 15 11:03 EST 2012. Contains 205763 sequences.