id:A098475 - OEIS Search Results

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a(k) is the smallest integer for which sigma_k(n) <= sigma_k(n-1) where sigma_k(n) = sum of the k-th powers of the divisors of n.

+0
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3, 5, 7, 25, 61, 145, 361, 853, 1969, 4489, 10069, 22273, 48781, 105949, 228589, 490405, 1046977, 2225965, 4715401, 9956977, 20965213, 44031361, 92262349, 192920785, 402629257, 838827577, 1744784389, 3623814865, 7516104565 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n) has to be larger than the solution to Zeta(n)*(x-1)^n=x^n`
	EXAMPLE	`a(1)=5 since sigma(1)=1,sigma(2)=3,sigma(3)=4, sigma(4)=7, but sigma(5)=6`
	CROSSREFS	`Sequence in context: A108313 A045966 A146148 this_sequence A131039 A027449 A126670` `Adjacent sequences: A098472 A098473 A098474 this_sequence A098476 A098477 A098478`
	KEYWORD	`nonn`
	AUTHOR	`John L. Drost (drost(AT)marshall.edu), Oct 26 2004`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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