id:A097162 - OEIS Search Results

Search: id:A097162

Displaying 1-1 of 1 results found.

page 1

Sum k=0..n, C(floor((n+1)/2),floor((k+1)/2))2^k.

+0
3

1, 3, 7, 21, 37, 123, 187, 681, 937, 3663, 4687, 19341, 23437, 100803, 117187, 520401, 585937, 2667543, 2929687, 13599861, 14648437, 69047883, 73242187, 349433721, 366210937, 1763945823, 1831054687, 8886837981, 9155273437, 44702625363 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f. : (1+2x-5x^2-4x^3)/((1-x)(1-4x^2)(1-5x^2)); a(n)=(3/4-3sqrt(5)/4)(-sqrt(5))^n +(3/4+3sqrt(5)/4)(sqrt(5))^n-(2^n-(-2)^n)-1/2; a(2n)=A057651(n); a(2n+1)=3*A097165(n).`
	CROSSREFS	`Cf. A075427.` `Adjacent sequences: A097159 A097160 A097161 this_sequence A097163 A097164 A097165` `Sequence in context: A046528 A018572 A018641 this_sequence A128402 A018689 A119959`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 30 2004`

page 1

Search completed in 0.002 seconds

Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

AT&T Labs Research