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Search: id:A056537
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| A056537 |
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Mapping from the column-by-column reading to the half-antidiagonal reading of the triangular tables. Inverse of A056536. |
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4
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| 1, 2, 4, 3, 6, 9, 5, 8, 12, 16, 7, 11, 15, 20, 25, 10, 14, 19, 24, 30, 36, 13, 18, 23, 29, 35, 42, 49, 17, 22, 28, 34, 41, 48, 56, 64, 21, 27, 33, 40, 47, 55, 63, 72, 81, 26, 32, 39, 46, 54, 62, 71, 80, 90, 100, 31, 38, 45, 53, 61, 70, 79, 89, 99, 110, 121, 37, 44, 52, 60, 69
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Moves triangular numbers (A000217) to squares (A000290), i.e. A056537[A000217[i]] = A000290[i] for all i >= 1
This array is the dispersion of the complement of the squares; see A082152. - Clark Kimberling (ck6(AT)evansville.edu), Apr 05 2003
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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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[seq(nthmember(j, A056536), j=1..105)];
Triangle T(n, k), 1<=k<=n, read by rows, defined by : T(n, k)= 0 for n<k and T(n, k) = A002620(n-k+1) + k*n + k - n if n>=k . T(n, n) = n^2; T(n, 1) = 1 + A002620(n) = A033638(n) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 16 2004
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MAPLE
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Maple procedure nthmember given in A054426.
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CROSSREFS
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Sequence in context: A077529 A120620 A094608 this_sequence A083221 A075652 A054428
Adjacent sequences: A056534 A056535 A056536 this_sequence A056538 A056539 A056540
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KEYWORD
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nonn,tabl
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AUTHOR
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Antti Karttunen Jun 20, 2000
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