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A375518
First differences of A375516.
1
1, 2, 8, 36, 1152, 240000, 9696240000, 11752718457744180000, 15347376819435640459450549232576160000, 23554197523775043569951631809272942030408567274885169881327076295276944000
OFFSET
0,2
COMMENTS
The terms of A375516 are not well-understood. The present sequence was suggested by the fact that, from a certain point on, the terms of A375516 end with the digits 1200. If powers of 2 and 3 are ignored, the terms of the present sequence appear to be perfect squares.
LINKS
MAPLE
s:= proc(n) s(n):= `if`(n=0, 0, s(n-1)+1/(n*b(n))) end:
b:= proc(n) b(n):= 1+floor(1/((1-s(n-1))*n)) end:
a:= n-> denom(s(n+1))-denom(s(n)):
seq(a(n), n=0..10); # Alois P. Heinz, Oct 19 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 25 2024
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Oct 19 2024
STATUS
approved