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A143122 Triangle read by rows, T(n,k) = sum {j=k..n} j!, 0<=k<=n. 1
1, 2, 1, 4, 3, 2, 10, 9, 8, 6, 34, 33, 32, 30, 154, 153, 152, 150, 144, 120, 874, 873, 872, 870, 864, 840, 720, 5914, 5913, 5912, 5910, 5904, 5880, 5760, 5040, 46234, 46233, 46232, 46230, 46224, 46200, 46080, 45360, 40320 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Left column = A003422 starting (1, 2, 4, 10, 34,...).

Row sums = A007489 starting (1, 3, 9, 33, 153,...).

LINKS

Table of n, a(n) for n=0..43.

FORMULA

Triangle read by rows, T(n,k) = sum {j=k..n} j!, 0<=k<=n. A000012 * (A000142 * 0^(n-k)) * A000012, where A000142 = (1, 1, 2, 6,...).

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

4, 3, 2;

10, 9, 8, 6;

34, 33, 32, 30, 24;

...

T(4,2) = 32 = 4! + 3! + 2! = (24 + 6 + 2).

CROSSREFS

Cf. A000142, A003422, A007489.

Sequence in context: A140169 A124731 A210658 * A093067 A098122 A159931

Adjacent sequences:  A143119 A143120 A143121 * A143123 A143124 A143125

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula, Jul 26 2008

STATUS

approved

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Last modified November 23 00:33 EST 2017. Contains 295107 sequences.