A085215 -id:A085215 - cp's OEIS frontend

A085216 Transpose of A085215.

0, 1, 1, 2, 3, 2, 3, 8, 7, 3, 4, 9, 26, 9, 4, 5, 10, 27, 32, 13, 5, 6, 11, 28, 33, 50, 15, 6, 7, 30, 29, 34, 51, 56, 25, 7, 8, 31, 126, 35, 52, 57, 122, 27, 8, 9, 32, 127, 150, 53, 58, 123, 128, 31, 9, 10, 33, 128, 151, 246, 59, 124, 129, 146, 33, 10, 11, 34, 129, 152, 247, 270, 125

Offset: 0

Antti Karttunen, Jun 23 2003

Factorial expansions of the same entries: A085218.

A085217 Factorial expansions of the entries in A085215.

Original entry on oeis.org

0, 1, 1, 10, 11, 10, 11, 110, 101, 11, 20, 111, 1010, 111, 20, 21, 120, 1011, 1110, 201, 21, 100, 121, 1020, 1111, 2010, 211, 100, 101, 1100, 1021, 1120, 2011, 2110, 1001, 101, 110, 1101, 10100, 1121, 2020, 2111, 10010, 1011, 110, 111, 1110, 10101, 11100

Offset: 0

Antti Karttunen, Jun 23 2003

Note that we can show only a finite subarray of A085215 in this way because eventually majority of the entries will have digits greater than nine in their factorial expansions.

Transpose: A085218.

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.

Original entry on oeis.org

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

Antti Karttunen, Jun 23 2003

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'.

			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.

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

cp's OEIS Frontend

A085216 Transpose of A085215.

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A085217 Factorial expansions of the entries in A085215.

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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.

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