0,1

A subsequence of A115414, odd abundant numbers (A005231) not divisible by 3. The smallest of these equals a(2). All subsequent terms are a(n) = 5*a(n-1). - M. F. Hasler, Jul 28 2016

For all n >= 2, a(n) = 5^n*7*11*13*17*19*23*29. This can be seen from sigma[-1](5^n) = (5-1/5^n)/4 and sigma[-1](29#/5#) = 1.615... > 2/sigma[-1](5^n) for all n >= 2 (but not for n = 1), while sigma[-1](23#/5#) = 1.56... < 2*4/5 (and idem for any other factor omitted) is never large enough. - M. F. Hasler, Jul 28 2016

a(0) = 20169691981106018776756331 = 5^0*7^2*11^2*13*17*19*23*29*31*37*41*43*47*53*59*61*67 = A047802(3), the least odd abundant number with no factor 3 or 5.

a(1) = 33426748355 = 5^1*7*11*13*17*19*23*29*31.

a(2) = 5391411025 = 5^2*7*11*13*17*19*23*29 = A115414(1) = A047802(2), the least odd abundant number with no factor 3.

(PARI) A133849(n)=215656441*if(n>1, 5^n, [3016998806898461, 5][n+1]*31) \\ M. F. Hasler, Jul 28 2016

Cf. A115414, A005231, A005101.

Sequence in context: A309072 A217416 A358418 * A343357 A324208 A281907

Adjacent sequences: A133846 A133847 A133848 * A133850 A133851 A133852

Pierre CAMI, Jan 06 2008

Edited, a(3) corrected, and more terms added by M. F. Hasler, Jul 28 2016

approved