A085219 Array A(x,y): "rised concatenation" of factorial expansions of x & y, listed antidiagonalwise as A(0,0), A(1,0), A(0,1), A(2,0), A(1,1), A(0,2), ... Zero is expanded as an empty string.

0, 1, 1, 2, 5, 2, 3, 15, 14, 3, 4, 17, 56, 15, 4, 5, 21, 62, 57, 22, 5, 6, 23, 80, 63, 88, 23, 6, 7, 57, 86, 81, 94, 89, 54, 7, 8, 59, 272, 87, 112, 95, 270, 55, 8, 9, 63, 278, 273, 118, 113, 294, 271, 56, 9, 10, 65, 296, 279, 424, 119, 390, 295, 272, 57, 10, 11, 69, 302, 297, 430

Offset: 0

Author

Antti Karttunen, Jun 23 2003

Keywords

• nonn
• tabl

Comments

This is otherwise like A085215, except that to each digit in the factorial expansion of 'x' is added the most significant digit in the factorial expansion of 'y'.

Examples

			To get A(4,3) = 81 we take the factorial expansions of 4 (= '20') and 3 (= '11') and then we add 1 to each digit of the former to get '31', before concatenating them as '3111' (3*24+1*6+1*2+1*1 = 81). Similarly, for A(3,4) = 94 we add 2 to 3's expansion '11' to get '33' and then the concatenation yields '3320' (3*24+3*6+2*2=94). See A085221 for the corresponding factorial expansions.
		

Crossrefs

Transpose: A085220. Can be used to compute A085203. Cf. A000142, A007623, A084558, A025581, A002262.