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Search: id:A060734
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| A060734 |
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Array of square numbers read by antidiagonals in down direction. |
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+0
3
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| 1, 4, 2, 9, 3, 5, 16, 8, 6, 10, 25, 15, 7, 11, 17, 36, 24, 14, 12, 18, 26, 49, 35, 23, 13, 19, 27, 37, 64, 48, 34, 22, 20, 28, 38, 50, 81, 63, 47, 33, 21, 29, 39, 51, 65, 100, 80, 62, 46, 32, 30, 40, 52, 66, 82, 121, 99, 79, 61, 45, 31, 41, 53, 67, 83, 101, 144
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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A simple permutation of natural numbers
Parity of the sequence is given by A057211 (n-th run has length n). [From Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Dec 26 2008]
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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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T(n+1, k)=n*n+k, T(k, n+1)=(n+1)*(n+1)+1-k, 1 <= k <= n+1.
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EXAMPLE
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1 4 9 .. => a(1) = 1
2 3 8 .. => a(2) = 4, a(3) = 2
5 6 7 .. => a(4) = 9, a(5) = 3, a(6) = 5
10 11 12 13 .. => a(7)=16, a(8)=8, a(9)=6, a(10)=10
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CROSSREFS
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Cf. A060736. Inverse: A064790.
Sequence in context: A021237 A115881 A077809 this_sequence A075594 A076022 A064421
Adjacent sequences: A060731 A060732 A060733 this_sequence A060735 A060736 A060737
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KEYWORD
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nonn,tabl
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AUTHOR
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Frank Ellermann (Frank.Ellermann(AT)t-online.de), Apr 23 2001
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EXTENSIONS
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Corrected by Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Dec 26 2008
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