id:A097298 - OEIS Search Results

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Eighth column (m=7) of (1,6)-Pascal triangle A096956.

+0
3

6, 43, 176, 540, 1380, 3102, 6336, 12012, 21450, 36465, 59488, 93704, 143208, 213180, 310080, 441864, 618222, 850839, 1153680, 1543300, 2039180, 2664090, 3444480, 4410900, 5598450, 7047261, 8803008, 10917456, 13449040, 16463480 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n)= A096956(n+7, 7) = 6b(n) - 5b(n-1) = (n+42)binomial(n+6, 6)/7, with b(n):= A000580(n+7)=binomial(n+7, 7).` `G.f.: (6-5x)/(1-x)^8.`
	CROSSREFS	`Cf. A097297 (seventh column), A097299 (ninth column).` `Sequence in context: A139223 A083940 A101071 this_sequence A012872 A156676 A099322` `Adjacent sequences: A097295 A097296 A097297 this_sequence A097299 A097300 A097301`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 13 2004`

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.

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