A085742 - OEIS

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A085742

T(n^3)-T(n), where T() are the triangular numbers (A000217).

0, 0, 33, 372, 2070, 7860, 23415, 58968, 131292, 266040, 500445, 886380, 1493778, 2414412, 3766035, 5696880, 8390520, 12071088, 17008857, 23526180, 32003790, 42887460, 56695023, 74023752, 95558100, 122077800, 154466325, 193719708 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..10000`
	FORMULA	`a(n) = (n-1)n(n+1)*(n^3+n+1)/2.`
	EXAMPLE	`a(3) = T(3^3)-T(3) = T(27)-T(3) = 378-6 = 372.`
	PROG	`(PARI) t(n)=n(n+1)/2; for(n=0, 50, print1(t(n^3)-t(n)", "))` `(MAGMA) [(n-1)n(n+1)(n^3+n+1)/2: n in [0..40]]; // Vincenzo Librandi, Sep 14 2011`
	CROSSREFS	`Cf. A000217.` `Sequence in context: A121994 A093743 A167963 * A202256 A107965 A058796` `Adjacent sequences: A085739 A085740 A085741 * A085743 A085744 A085745`
	KEYWORD	`nonn,easy`
	AUTHOR	`Jon Perry (perry(AT)globalnet.co.uk), Jul 21 2003`

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.