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Search: id:A086271
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| A086271 |
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Rectangular array T(n,k) of polygonal numbers, by diagonals. |
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+0
23
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| 1, 1, 3, 1, 4, 6, 1, 5, 9, 10, 1, 6, 12, 16, 15, 1, 7, 15, 22, 25, 21, 1, 8, 18, 28, 35, 36, 28, 1, 9, 21, 34, 45, 51, 49, 36, 1, 10, 24, 40, 55, 66, 70, 64, 45, 1, 11, 27, 46, 65, 81, 91, 92, 81, 55, 1, 12, 30, 52, 75, 96, 112, 120, 117, 100, 66, 1, 13, 33, 58, 85, 111, 133, 148
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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The transpose of A086270; diagonal sums 1,4,11,25,50,... are the numbers A006522(n) for n>=3.
Transpose of the array in A086270; diagonal sums 1,4,11,25,50,... are the numbers A006522(n) for n>=3.
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LINKS
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Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.
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FORMULA
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T(n, k)=kC(n, 2)+n.
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EXAMPLE
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Columns 1,2,3 are the triangular, square, and pentagonal numbers.
Northwest corner:
1 1 1 1 1 ...
3 4 5 6 7 ...
6 9 12 15 18 ...
10 16 22 28 34 ...
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CROSSREFS
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Cf. A086270, A086272, A086273.
Sequence in context: A104449 A116416 A051203 this_sequence A080851 A108285 A075419
Adjacent sequences: A086268 A086269 A086270 this_sequence A086272 A086273 A086274
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Jul 14 2003
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