id:A155803 - OEIS Search Results

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A023001 interleaved with 2*A023001 and 4*A023001.

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0, 0, 0, 1, 2, 4, 9, 18, 36, 73, 146, 292, 585, 1170, 2340, 4681, 9362, 18724, 37449, 74898, 149796, 299593, 599186, 1198372, 2396745, 4793490, 9586980, 19173961, 38347922, 76695844, 153391689, 306783378, 613566756, 1227133513, 2454267026, 4908534052 (list; graph; listen)

	OFFSET	`0,5`
	LINKS	`Index entries for recurrences with constant coefficients`
	FORMULA	`a(3n)= A023001(n). a(3n+1)=2A023301(n) = A125835(n). a(3n+2) = 4A023001(n).` `a(n)= a(n-3)+2^(n-3) = a(n-3)+A000079(n-3). Here, a(.) can also be one of its higher order differences.` `a(n)= 2a(n-1)+a(n-3)-2a(n-4). G.f.: x^3/((x-1)(2x-1)*(1+x+x^2)). [R. J. Mathar, Jul 23 2009]`
	MAPLE	`:= proc(n) (8^n-1)/7; end: A155803 := proc(n) RETURN( A023001(n), 2A023001(n), 4A023001(n)) ; end: L := [seq(A155803(n), n=0..30)] ; # R. J. Mathar, Jul 23 2009`
	CROSSREFS	`Sequence in context: A119027 A145139 A033138 this_sequence A056185 A152537 A081253` `Adjacent sequences: A155800 A155801 A155802 this_sequence A155804 A155805 A155806`
	KEYWORD	`nonn`
	AUTHOR	`Paul Curtz (bpcrtz(AT)free.fr), Jan 27 2009`
	EXTENSIONS	`Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2009`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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