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A136573 Triangle read by rows: (A000012 * A136572 + A136572 * A000012) - A000012. 1
1, 1, 1, 2, 2, 3, 6, 6, 7, 11, 24, 24, 25, 29, 47, 120, 120, 121, 125, 143, 239, 720, 720, 721, 725, 743, 839, 1439, 5040, 5040, 5041, 5045, 5063, 5159, 5759, 10079, 40320, 40320, 40321, 40325, 40343, 40349, 41039, 45359, 80639, 362880, 362880, 362881 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = A136574. Right border = 2*n! - 1 = A020543: (1, 1, 3, 11, 47, 239, 1439,...).

LINKS

Table of n, a(n) for n=0..47.

FORMULA

(A000012 * A136572 + A136572 * A000012) - A000012, as infinite lower triangular matrices. Triangle read by rows: n-th row = (n+1) terms of n! + (k! - 1), k = 0, 1, 2,...; where the sequence (k! - 1) = A033312: (0, 0, 1, 5, 23, 119, 719, 5039,...).

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

2, 2, 3;

6, 6, 7, 11;

24, 24, 25, 49, 47;

120, 120, 121, 125, 143, 239;

720, 720, 721, 725, 743, 839, 1439;

...

Row 4 = (24, 24, 25, 29, 47) = 5 terms of (24, 24, 24, 24, 24) + (0, 0, 1, 5, 23), where A033312 = (0, 0, 1, 5, 23, 119, 719, 5039,...).

5040, 5040, 5041, 5045, 5063, 5159, 5759, 10079;

...

CROSSREFS

Cf. A136574, A020543.

Sequence in context: A298484 A139359 A082481 * A121457 A093784 A035560

Adjacent sequences:  A136570 A136571 A136572 * A136574 A136575 A136576

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jan 07 2008

STATUS

approved

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Last modified May 31 06:22 EDT 2020. Contains 334747 sequences. (Running on oeis4.)