id:A088015 - OEIS Search Results

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cosh(sqrt(2)x)+exp(x)(cosh(sqrt(2x)-1).

+0
1

1, 0, 4, 6, 20, 40, 106, 238, 592, 1392, 3394, 8118, 19664, 47320, 114370, 275806, 666112, 1607520, 3881410, 9369318, 22620560, 54608392, 131838370, 318281038, 768402496, 1855077840, 4478562274, 10812186006, 26102942480, 63018038200 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`A088015 is A000079 (with interpolated zeros) + 2*(A048739 (with two leading zeros)). A088015(n)=A088014(n)-1.`
	FORMULA	`G.f.: (1-3x+3x^2+x^3-4x^4)/((1-x)(1-2x-3x^2+4x^3+2x^4)); E.g.f. : cosh(sqrt(2)x)+exp(x)(cosh(sqrt(2x)-1); a(n)=((sqrt(2))^n+(-sqrt(2))^n+(1+sqrt(2))^n+(1-sqrt(2))^n)/2-1.`
	CROSSREFS	`Sequence in context: A026711 A026788 A079435 this_sequence A027377 A048789 A038069` `Adjacent sequences: A088012 A088013 A088014 this_sequence A088016 A088017 A088018`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 18 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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