id:A114698 - OEIS Search Results

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Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-3).

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1, 18, 38, 58, 78, 98, 118, 138, 158, 178, 198, 218, 238, 258, 278, 298, 318, 338, 358, 378, 398, 418, 438, 458, 478, 498, 518, 538, 558, 578, 598, 618, 638, 658, 678, 698, 718, 738, 758, 778, 798, 818, 838, 858, 878, 898, 918, 938, 958, 978, 998, 1018, 1038 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`More generally for any n>=floor((m+1)/2) the trace of M(n)^(-m) = binomial(2m,m)n-2^(2m-1)+binomial(2m-1,m)`
	FORMULA	`a(1)=1 then a(n)=20n-22`
	PROGRAM	`(PARI) a(n)=if(n<2, 1, 20*n-22)`
	CROSSREFS	`Cf. A016921, A114646.` `Sequence in context: A041642 A041644 A041646 this_sequence A119127 A084585 A132761` `Adjacent sequences: A114695 A114696 A114697 this_sequence A114699 A114700 A114701`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 09 2006`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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