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Search: id:A056536
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| A056536 |
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Mapping from half-antidiagonal reading of the triangle (as used in A028297) to the column-by-column reading (as usual in EIS) of the triangular tables. |
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7
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| 1, 2, 4, 3, 7, 5, 11, 8, 6, 16, 12, 9, 22, 17, 13, 10, 29, 23, 18, 14, 37, 30, 24, 19, 15, 46, 38, 31, 25, 20, 56, 47, 39, 32, 26, 21, 67, 57, 48, 40, 33, 27, 79, 68, 58, 49, 41, 34, 28, 92, 80, 69, 59, 50, 42, 35, 106, 93, 81, 70, 60, 51, 43, 36, 121, 107, 94, 82, 71, 61, 52
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Moves squares (A000290) to triangular numbers (A000217), i.e. A056536[A000290[i]] = A000217[i] for all i >= 1
This sequence may be regarded as a triangular array read by rows : 1; 2; 4, 3; 7, 5; 11, 8, 6; 16, 12, 9; 22, 17, 13, 10; .... with row sums : A079824 = [1, 2, 7, 12, 25, 37, 62, 84, ...] . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 16 2004
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LINKS
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Index entries for sequences that are permutations of the natural numbers
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MAPLE
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triang_perm := proc(upto_d) local a, i, j; a := []; for i from 1 to upto_d do for j from 1 to floor((i+1)/2) do a := [op(a), binomial((i-j)+1, 2)+j]; od; od; RETURN(a); end;
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CROSSREFS
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Inverse: A056537.
a(n) = A091018(n-1)+1.
Sequence in context: A120234 A103865 A065579 this_sequence A108228 A127008 A064274
Adjacent sequences: A056533 A056534 A056535 this_sequence A056537 A056538 A056539
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Jun 20, 2000
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