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

Author

Gary W. Adamson, May 31 2007

Keywords

• nonn

Examples

			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.

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, ...).

Extensions

More terms from Alois P. Heinz, Dec 02 2018