A129602 -id:A129602 - cp's OEIS frontend

A129600 Array A(i,j) of binary run-length encoded product of i and j, read by ascending antidiagonals.

0, 1, 1, 2, 3, 2, 3, 4, 4, 3, 4, 7, 6, 7, 4, 5, 8, 8, 8, 8, 5, 6, 11, 12, 15, 12, 11, 6, 7, 12, 9, 16, 16, 9, 12, 7, 8, 15, 14, 23, 24, 23, 14, 15, 8, 9, 16, 16, 24, 19, 19, 24, 16, 16, 9, 10, 19, 24, 31, 28, 13, 28, 31, 24, 19, 10, 11, 20, 17, 32, 32, 17, 17, 32, 32, 17, 20, 11, 12

Offset: 0

Antti Karttunen, May 01 2007

Cf. A003991, A129601.

Cf. A129602 (center diagonal), A014601 (row 1 apart from the first term).

A(i,j) = A075158(((A075157(i)+1)*(A075157(j)+1)) - 1).

Name edited by Michel Marcus, Dec 01 2021

A129603 Replace in the binary expansion of n each run of k 0's (or 1's) with 2k-1 0's (or 1's).

Original entry on oeis.org

0, 1, 2, 7, 8, 5, 14, 31, 32, 17, 10, 23, 56, 29, 62, 127, 128, 65, 34, 71, 40, 21, 46, 95, 224, 113, 58, 119, 248, 125, 254, 511, 512, 257, 130, 263, 136, 69, 142, 287, 160, 81, 42, 87, 184, 93, 190, 383, 896, 449, 226, 455, 232, 117, 238, 479, 992, 497, 250, 503

Offset: 0

Antti Karttunen, May 01 2007

			a(1) = 1, as 1 is 1 in binary and single runs stay intact (as 2*1 - 1 = 1). a(9) = 17, as 9 is 1001 in binary and keeping the most and the least significant runs as '1' and changing the center run '00' to '000', we get 10001 in binary, 17 in decimal.

Cf. A001196, A129602.

cp's OEIS Frontend

A129600 Array A(i,j) of binary run-length encoded product of i and j, read by ascending antidiagonals.

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A129603 Replace in the binary expansion of n each run of k 0's (or 1's) with 2k-1 0's (or 1's).

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