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 A037095 "Sloping binary representation" of powers of 3 (A000244), slope = -1. 5
 1, 1, 3, 1, 3, 9, 11, 17, 19, 25, 123, 65, 195, 169, 171, 753, 435, 249, 2267, 4065, 8163, 841, 843, 31313, 29651 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) := Sum(bit_n(A000244(n-i), i)*(2^i), i=0..(n-1)) [ bit_n := (x, n) -> `mod`(floor(x/(2^n)), 2); ] EXAMPLE When powers of 3 are written in binary (see A004656), under each other as: 000000000001 (1) 000000000011 (3) 000000001001 (9) 000000011011 (27) 000001010001 (81) 000011110011 (243) 001011011001 (729) 100010001011 (2187) and one collects their bits from the column-0 to NW-direction (from the least to the most significant end), one gets 1 (1), 01 (1), 011 (3), 0001 (1), 00011 (3), 001001 (9), etc. (See A105033 for similar transformation done on nonnegative integers). CROSSREFS Cf. A105033, A000244, A037093-A037094, A037096-A037097. Sequence in context: A265307 A133579 A088442 * A160654 A146436 A058842 Adjacent sequences:  A037092 A037093 A037094 * A037096 A037097 A037098 KEYWORD nonn,base AUTHOR Antti Karttunen, Jan 28 1999. Entry revised Dec 29 2007. STATUS approved

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