id:A160235 - OEIS Search Results

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The maximal coefficient of (1+x)(1+x^4)(1+x^9)...(1+x^(n^2))

+0
1

1, 1, 1, 1, 2, 2, 3, 5, 6, 9, 14, 21, 32, 54, 87, 144, 230, 383, 671, 1158, 1981, 3408, 6246, 10925, 19463, 34624, 63941, 114954, 208429, 380130, 707194, 1298600, 2379842, 4398644, 8253618, 15303057, 28453809, 53091455, 100061278, 187446097 (list; graph; listen)

	OFFSET	`1,5`
	LINKS	`Finch, Signum equations and extremal coefficients.`
	FORMULA	`An asymptotic formula is a(n) ~ \sqrt {10/\pi } n^{-5/2} 2^n. See for example the reference by Finch.`
	MAPLE	`for N from 1 to 40 do` `p := expand(product(1+x^(n^2), n=1..N)):` `L:=convert(PolynomialTools[CoefficientVector](p, x), list):` `mmax := max(op(map(abs, L)));` `lprint(mmax):` `end:`
	CROSSREFS	`Cf. A025591` `Sequence in context: A050044 A143438 A004037 this_sequence A050380 A111077 A032157` `Adjacent sequences: A160232 A160233 A160234 this_sequence A160236 A160237 A160238`
	KEYWORD	`nonn`
	AUTHOR	`Theodore Kolokolnikov (tkolokol(AT)gmail.com), May 05 2009`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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