id:A147685 - OEIS Search Results

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Squares and centered square numbers interleaved.

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0, 1, 1, 5, 4, 13, 9, 25, 16, 41, 25, 61, 36, 85, 49, 113, 64, 145, 81, 181, 100, 221, 121, 265, 144, 313, 169, 365, 196, 421, 225, 481, 256, 545, 289, 613, 324, 685, 361, 761, 400, 841, 441, 925, 484, 1013, 529, 1105, 576, 1201, 625, 1301, 676, 1405, 729, 1513 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`This could be called the inverse Motzkin transform of A109188 since the substitution x -> x/(1+x+x^2) in the independent variable of the g.f. A109188(x) yields this sequence here.`
	FORMULA	`a(2n)=A000290(n). a(2n+1)=A001844(n). O.g.f.: x(1+x+x^2)(1+x^2)/((1-x)^3(1+x)^3). a(n)=3a(n-2)-3a(n-4)+a(n-6).`
	CROSSREFS	`Sequence in context: A131875 A095871 A019068 this_sequence A078930 A094414 A158867` `Adjacent sequences: A147682 A147683 A147684 this_sequence A147686 A147687 A147688`
	KEYWORD	`easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 10 2008`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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