A132379 Array read by columns down to the main diagonal where the first element in row n is n and element k+1 in row n is the sum of element k in row n and element k-1 in row n-1.

1, 1, 4, 1, 5, 12, 1, 6, 17, 1, 7, 23, 49, 80, 1, 8, 30, 72, 129, 192, 1, 9, 38, 102, 201, 321, 448, 1, 10, 47, 140, 303, 522, 769, 1024, 1, 11, 57, 187, 443, 825, 1291, 1785, 2304, 1, 12, 68, 244, 630, 1268, 2116, 3076, 4089, 5120

Offset: 1

Author

Jonathan R. Love (japanada11(AT)yahoo.ca), Nov 20 2007

Keywords

• nonn
• tabl

Examples

			The array begins:
(1) 1 1 1 1 1 1 1...
(2 3) 4 5 6 7 8 9...
(3 5 8) 12 17 23 30 38...
(4 7 12 20)32 49 72 102...
(5 9 16 28 48)80 129 201...,
each term being the sum of the number to its left and the number to its top right. Terms in parentheses are given in sequence A053218, the rest included in this sequence.
		

Crossrefs

Cf. A053218.