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A098475 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. 1
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; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

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 * A131039 A027449 A126670

Adjacent sequences:  A098472 A098473 A098474 * A098476 A098477 A098478

KEYWORD

nonn

AUTHOR

John L. Drost (drost(AT)marshall.edu), Oct 26 2004

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.