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A086273 Rectangular array T(n,k) of central polygonal numbers, by antidiagonals. +0
6
1, 1, 3, 1, 4, 7, 1, 5, 10, 13, 1, 6, 13, 19, 21, 1, 7, 16, 25, 31, 31, 1, 8, 19, 31, 41, 46, 43, 1, 9, 22, 37, 51, 61, 64, 57, 1, 10, 25, 43, 61, 76, 85, 85, 73, 1, 11, 28, 49, 71, 91, 106, 113, 109, 91, 1, 12, 31, 55, 81, 106, 127, 141, 145, 136, 111, 1, 13, 34, 61, 91, 121, 148 (list; table; graph; listen)
OFFSET

1,3

COMMENT

Transpose of the array at A086272.

LINKS

Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.

FORMULA

T(n, k)=(k+1)C(n, 2)+1.

EXAMPLE

Northwest corner:

1 1 1 1 1 ...

3 4 5 6 7 ...

7 10 13 16 19 ...

13 19 25 31 37 ...

CROSSREFS

Cf. A086270, A086271, A086272, A086273.

Cf. A086270, A086271, A086272, A086274.

Sequence in context: A049918 A028861 A081521 this_sequence A054143 A104746 A081255

Adjacent sequences: A086270 A086271 A086272 this_sequence A086274 A086275 A086276

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Jul 14 2003

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.


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