id:A086341 - OEIS Search Results

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a(n)=2*A016116(n)-(-1)^n.

+0
2

1, 3, 3, 5, 7, 9, 15, 17, 31, 33, 63, 65, 127, 129, 255, 257, 511, 513, 1023, 1025, 2047, 2049, 4095, 4097, 8191, 8193, 16383, 16385, 32767, 32769, 65535, 65537, 131071, 131073, 262143, 262145, 524287, 524289, 1048575, 1048577, 2097151, 2097153 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`E.g.f.: 2cosh(sqrt(2)x)+2sinh(sqrt(2)x)/sqrt(2)-sinh(x)+cosh(x) a(n)=(1+1/sqrt(2))sqrt(2)^n+(1-1/sqrt(2))(-sqrt(2))^n-(-1)^n`
	CROSSREFS	`Sequence in context: A101300 A076524 A050824 this_sequence A128424 A129758 A141867` `Adjacent sequences: A086338 A086339 A086340 this_sequence A086342 A086343 A086344`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 16 2003`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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