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A153859 Triangle read by rows, A007318 * (A007476 * 0 ^(n-k)) 1
1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 4, 6, 8, 4, 1, 5, 10, 20, 20, 9, 1, 6, 15, 40, 60, 54, 23, 1, 7, 21, 70, 140, 189, 161, 65, 1, 8, 28, 112, 280, 504, 644, 520, 199, 1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654, 1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums = A007476 starting (1, 2, 4, 9, 23, 65, 199,...).

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Triangle read by rows A007318 * (A007476 * 0^(n-k)) = binomial transform of an infinite lower triangular matrix with A007476 as the main diagonal: (1, 1, 1, 2, 4, 9, 23, 65, 199,...) and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 2, 1;

1, 3, 3, 2;

1, 4, 6, 8, 4;

1, 5, 10, 20, 20, 9;

1, 6, 15, 40, 60, 54, 23;

1, 7, 21, 70, 140, 189, 161, 65;

1, 8, 28, 112, 280, 504, 644, 520, 199;

1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654;

1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296;

...

CROSSREFS

Cf. A007476

Sequence in context: A144401 A034929 A099509 * A131336 A052253 A271453

Adjacent sequences:  A153856 A153857 A153858 * A153860 A153861 A153862

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jan 02 2009

STATUS

approved

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Last modified February 23 13:38 EST 2018. Contains 299581 sequences. (Running on oeis4.)