id:A086272 - OEIS Search Results

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Rectangular array T(n,k) of central polygonal numbers, by antidiagonals.

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1, 3, 1, 7, 4, 1, 13, 10, 5, 1, 21, 19, 13, 6, 1, 31, 31, 25, 16, 7, 1, 43, 46, 41, 31, 19, 8, 1, 57, 64, 61, 51, 37, 22, 9, 1, 73, 85, 85, 76, 61, 43, 25, 10, 1, 91, 109, 113, 106, 91, 71, 49, 28, 11, 1, 111, 136, 145, 141, 127, 106, 81, 55, 31, 12, 1, 133, 166, 181, 181, 169 (list; table; graph; listen)

	OFFSET	`1,2`
	LINKS	`Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.`
	FORMULA	`T(k, n)=(k+1)C(n, 2)+1.`
	EXAMPLE	`First 3 rows:` `(1) central polygonal numbers: 1 3 7 13 21 ... (A002061)` `(2) central triangular numbers: 1 4 10 19 31 ... (A005448)` `(3) central square numbers: 1 5 13 25 41 ... (A001844)`
	CROSSREFS	`Cf. A086270, A086271, A086273.` `Sequence in context: A095868 A140962 A013602 this_sequence A104709 A110814 A158841` `Adjacent sequences: A086269 A086270 A086271 this_sequence A086273 A086274 A086275`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Jul 14 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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