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 A037094 "Sloping binary representation" of Lucas numbers (A000032), slope = +1. 3
 0, 7, 29, 114, 971, 3695, 14684, 58639, 496705, 1892294, 7518347, 30023387, 258775984, 966632223, 3848859285, 32551146626, 123937019667, 492763242871, 1967451434524, 16666715013959, 63494909959113 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA a(n) := Sum(bit_n(A000032(n+i), i)*(2^i), i=0..inf) [ bit_n := (x, n) -> `mod`(floor(x/(2^n)), 2); ] In practice, 3n (2n?) can be used as an upper limit instead of infinity. EXAMPLE When Lucas numbers (A000032) are written in binary, under each other as: 0000010 (2) 0000001 (1) 0000011 (3) 0000100 (4) 0000111 (7) 0001011 (11) 0010010 (18) 0011101 (29) 0101111 (47) 1001100 (76) and one starts collecting their bits from column-0 to SW-direction (from the least to the most significant end), one gets 000... (0), ...00111 (7), ...011101 (29), ...001110010 (114), etc. (See A102370 for similar transformation done on nonnegative integers). CROSSREFS Cf. A000032, A037093, A037095, A037099 (same sequence in octal). Sequence in context: A049349 A124828 A296646 * A118171 A072261 A066744 Adjacent sequences: A037091 A037092 A037093 * A037095 A037096 A037097 KEYWORD nonn,base AUTHOR Antti Karttunen, Jan 28 1999. Entry revised Dec 29 2007. STATUS approved

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Last modified September 17 23:36 EDT 2024. Contains 375991 sequences. (Running on oeis4.)