id:A145289 - OEIS Search Results

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a(n) = number of monomials in n-th power of polynomial x^3+x^2+x+1

+0
1

4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 148, 151, 154, 157, 160, 163, 166, 169, 172, 175, 178, 181 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n)=Length[(x^4+x^3+x^2+x+1)^n]`
	FORMULA	`a(n) = 3n+1 = A112414(n-2) = A016777(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 11 2008]`
	MATHEMATICA	`a = {}; k = x^3 + x^2 + x + 1; m = k; Do[AppendTo[a, Length[m]]; m = Expand[mk], {n, 1, 100}]; a (Artur Jasinski*)`
	CROSSREFS	`Sequence in context: A026314 A070300 A112335 this_sequence A016777 A143460 A143459` `Adjacent sequences: A145286 A145287 A145288 this_sequence A145290 A145291 A145292`
	KEYWORD	`nonn`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Oct 06 2008`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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