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Search: id:A003156
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| A003156 |
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A self-generating sequence.
(Formerly M3239)
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+0
6
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| 1, 4, 5, 6, 9, 12, 15, 16, 17, 20, 21, 22, 25, 26, 27, 30, 33, 36, 37, 38, 41, 44, 47, 48, 49, 52, 55, 58, 59, 60, 63, 64, 65, 68, 69, 70, 73, 76, 79, 80, 81, 84, 85, 86, 89, 90, 91, 94
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) is the number of ones before the n-th zero in the Feigenbaum sequence A035263. - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 27 2004
Number of odd numbers before the n-th even number in A007413, A007913, A001511, A029883, A033485, A035263, A036585, A065882, A065883, A088172, A092412. - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Apr 03 2004
Indices of a in the sequence closed under a -> abc, b -> a, c -> a, starting with a(1) = a; see A092606 where a = 0, b = 2, c = 1 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Apr 12 2004
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REFERENCES
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L. Carlitz, R. Scoville and V. E. Hoggatt, Jr., Representations for a special sequence, Fib. Quart., 10 (1972), 499-518, 550.
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FORMULA
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a(n) = A079523(n) - n + 1 = A003157(n) - 2n = A003158(n) - 2n + 1 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 28 2004
a(n) = A036554(n) - n = A072939(n) - n - 1 = 2*A003159(n) - n = A056196(n)/4 - n. - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Apr 10 2004
a(n) = sum_{k = 1..n} A080426(k). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Apr 16 2004
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CROSSREFS
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Sequence in context: A010456 A072496 A047431 this_sequence A115984 A064931 A073263
Adjacent sequences: A003153 A003154 A003155 this_sequence A003157 A003158 A003159
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KEYWORD
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nonn,more
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AUTHOR
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njas
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