id:A099571 - OEIS Search Results

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Sum C(n-k+3,k), k=0..floor(n/2).

+0
2

1, 1, 5, 6, 17, 23, 50, 73, 138, 211, 370, 581, 979, 1560, 2575, 4135, 6755, 10890, 17700, 28590, 46356, 74946, 121380, 196326, 317797, 514123, 832025, 1346148, 2178293, 3524441, 5702870, 9227311, 14930334, 24157645, 39088150, 63245795 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Fourth column of triangle A054450.`
	FORMULA	`G.f.: 1/((1-x)^3(1-x-x^2)); a(n)=a(n-1)+4a(n-2)-3a(n-3)-6a(n-4)+3a(n-5)+4a(n-6)-a(n-7)-a(n-8); a(n)=sum{k=0..n, F(n-k+1)*binomial(k/2+2, 2)(1+(-1)^k)/2}.`
	CROSSREFS	`Cf. A054451, A052952, A099572, A000045.` `Sequence in context: A034454 A059013 A035595 this_sequence A041997 A041773 A041054` `Adjacent sequences: A099568 A099569 A099570 this_sequence A099572 A099573 A099574`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 23 2004`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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