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A206852 Numbers n such that n/2 is a square, n/3 is a cube, and n/5 is a fifth power. 12
30233088000000, 32462531054272512000000, 6224724715037147546112000000, 34856377305871210027941888000000, 28156757354736328125000000000000000, 6683747269421867033919422988288000000, 681433858470444619689081338982912000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..7.

Shyam Sunder Gupta, Number recreations, as of Feb 15 2012.

Index entries for linear recurrences with constant coefficients, signature (31, -465, 4495, -31465, 169911, -736281, 2629575, -7888725, 20160075, -44352165, 84672315, -141120525, 206253075, -265182525, 300540195, -300540195, 265182525, -206253075, 141120525, -84672315, 44352165, -20160075, 7888725, -2629575, 736281, -169911, 31465, -4495, 465, -31, 1).

FORMULA

a(n) = 30233088000000 * n^30 = 2^15 * 3^10 * 5^6 * n^30. - Charles R Greathouse IV, Apr 25 2012

PROG

(PARI) forstep(n=6, 1e9, 6, issquare(n^5*5/2) || next; iscube(n^5*5/3) & print1(n^5*5", "))

(PARI) a(n)=30233088000000*n^30 \\ Charles R Greathouse IV, Apr 25 2012

CROSSREFS

Sequence in context: A297357 A080124 A121843 * A171264 A172574 A229069

Adjacent sequences:  A206849 A206850 A206851 * A206853 A206854 A206855

KEYWORD

nonn,easy

AUTHOR

M. F. Hasler, Feb 15 2012

STATUS

approved

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Last modified November 15 06:11 EST 2019. Contains 329144 sequences. (Running on oeis4.)