A130494 Row sums of triangle A130478.

1, 4, 11, 37, 163, 907, 6067, 47107, 415027, 4084147, 44363827, 526994227, 6793931827, 94451224627, 1408352613427, 22418320792627, 379413423256627, 6802709918872627, 128803497755800627, 2568107879638168627, 53780695151756440627, 1180214324937540760627

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Formula

Row sums of triangle A130478. a(1) = 1; a(n), n>1 = n! + A130495(n-1). a(n) = n! + ((n-1)! + (n-2)!) + ((n-2)! + (n-3)!) + ... + (1! + 1). a(n) = n! + sum of first (n-1) terms of A001048 in reverse, where A001048 = (2, 3, 8, 30, 144, ...).

Example

a(5) = 163 sum of row 5 terms of triangle A130478: (120 + 30 + 8 + 3 + 2); where (30, 8, 3, 2) = the first 4 reversed terms of A001048.
a(5) = 163 = 5! + A130495(4) = 120 + 43.
a(5) = 163 = 5! + (4! + 3!) + (3! + 2!) + (2! + 1!) + (1! + 1).

Crossrefs

Cf. A130495, A001048, A130478.

Sequence in context: A356943 A017939 A282702 * A027573 A149246 A149247

Adjacent sequences: A130491 A130492 A130493 * A130495 A130496 A130497

Keyword

nonn

Author

Gary W. Adamson, May 31 2007

Extensions

More terms from Alois P. Heinz, Dec 02 2018

Status

approved