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Search: id:A144287
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| A144287 |
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Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) = Fibonacci rabbit sequence number n coded in base k. |
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+0
2
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| 1, 1, 1, 1, 2, 2, 1, 3, 5, 3, 1, 4, 10, 22, 5, 1, 5, 17, 93, 181, 8, 1, 6, 26, 276, 2521, 5814, 13, 1, 7, 37, 655, 17681, 612696, 1488565, 21, 1, 8, 50, 1338, 81901, 18105620, 4019900977, 12194330294, 34, 1, 9, 65, 2457, 289045, 255941280, 1186569930001
(list; table; graph; listen)
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OFFSET
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1,5
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FORMULA
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See program.
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EXAMPLE
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Square array begins:
1 1 1 1 1 ...
1 2 3 4 5 ...
2 5 10 17 26 ...
3 22 93 276 655 ...
5 181 2521 17681 81901 ...
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MAPLE
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f:= proc(n, b) option remember; if n=0 then [0, 0] elif n=1 then [1, 1] else [f(n-1, b)[1] *b^f(n-1, b)[2] +f(n-2, b)[1], f(n-1, b)[2] +f(n-2, b)[2]] fi end: T:= (n, k)-> f(n, k)[1]: seq (seq (T(n, d-n), n=1..d-1), d=2..12);
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CROSSREFS
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Rows 1-3 give: A000012, A001477, A002522. Columns 1-3, 10 give: A000045, A005203, A005205, A061107 and A036299. Diagonal gives: A144288.
Sequence in context: A073133 A106179 A081572 this_sequence A106196 A037027 A139375
Adjacent sequences: A144284 A144285 A144286 this_sequence A144288 A144289 A144290
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KEYWORD
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base,nice,nonn,tabl
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AUTHOR
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Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 17 2008
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