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Search: id:A045901
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| A045901 |
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Group the natural numbers into blocks: B_1 = 1, B_2 = 2,3,4, B_3 = 5,6,7,8,9, ..., each block ending in a square. Permute each block B_k by beginning with the central term, followed by the transposed symmetric pairs from B_k. |
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+0
1
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| 1, 3, 4, 2, 7, 8, 6, 9, 5, 13, 14, 12, 15, 11, 16, 10, 21, 22, 20, 23, 19, 24, 18, 25, 17, 31, 32, 30, 33, 29, 34, 28, 35, 27, 36, 26, 43, 44, 42, 45, 41, 46, 40, 47, 39, 48, 38, 49, 37, 57, 58, 56, 59, 55, 60, 54, 61, 53, 62, 52, 63, 51, 64, 50, 73, 74, 72, 75, 71, 76, 70, 77
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A permutation of the natural numbers.
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REFERENCES
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S. G. Krantz and J. D. McNeal, Creating more convergent series, Amer. Math. Monthly, 111 (No. 1, 2004), 32-38.
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LINKS
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Index entries for sequences that are permutations of the natural numbers
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FORMULA
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The k-th term of the n-th block is T(n, k) = n^2-n+1+(-1)^k*floor(k/2), k=1..2*n-1. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 16 2004
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EXAMPLE
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B_4 = 10,11,12,13,14,15,16 becomes 13, 14,12, 15,11, 16,10.
1; 3,4,2; 7,8,6,9,5; 13,14,12,15,11,16,10; ...
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CROSSREFS
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Sequence in context: A108127 A049277 A046692 this_sequence A098003 A026245 A026178
Adjacent sequences: A045898 A045899 A045900 this_sequence A045902 A045903 A045904
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Jan 16 2004
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 16 2004
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