id:A098179 - OEIS Search Results

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Expansion of (1-3x+3x^2)/((1-2x)(1-2x+2x^2)).

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1, 2, 3, 5, 11, 27, 63, 135, 271, 527, 1023, 2015, 4031, 8127, 16383, 32895, 65791, 131327, 262143, 523775, 1047551, 2096127, 4194303, 8390655, 16781311, 33558527, 67108863, 134209535, 268419071, 536854527, 1073741823, 2147516415 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A038503. Binomial transform of A098178.`
	FORMULA	`G.f. : (1-3x+3x^2)/((1-x)^5-x^4(1-x)); a(n)=2^n+2^(n/2)cos(pi*n/4)-1; a(n)=5a(n-1)-10a(n-2)+10a(n-3)-4a(n-4).`
	CROSSREFS	`Sequence in context: A000628 A006888 A009589 this_sequence A055228 A098642 A079447` `Adjacent sequences: A098176 A098177 A098178 this_sequence A098180 A098181 A098182`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 30 2004`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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