

A181485


Indices of records in A171919 = number of solutions to n=x*y*z, x+y=z+1.


2



1, 4, 112, 144, 23400, 28224, 247104, 604800, 26812800, 2677752000, 6805814400, 165145780800, 1248124550400, 17996854730400, 388778796252000
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

The sequence lists all n such that A171919(n) > A171919(k) for all k < n.
Also the subsequence of terms of A171920 for which A171919 is larger than for all preceding values.
The actual record values are given in A181486.
a(10) > 5*10^7.
It seems highly probable that all terms of this sequence, except for a(1) = 1, are multiples of 4.
a(14) > 4*10^12.  Donovan Johnson, Jun 14 2011
a(16) > 2*10^17.  Robert Gerbicz, Apr 10 2012


LINKS

Table of n, a(n) for n=1..15.


EXAMPLE

a(1) = 1 since there is no smaller value possible.
a(2) = 4 is the smallest number for which there are more than 1 = A171919(1) solutions to n = x*y*z, x + y = z + 1.
a(3) = 112 is the smallest number for which there are more than 2 = A171919(4) solutions to n = x*y*z, x + y = z + 1.


PROG

(PARI) m=0; for(n=1, 1e9, A171919(n)>m  next; m=A171919(n); print1(n", "))


CROSSREFS

Sequence in context: A214107 A202518 A212655 * A135917 A241798 A158450
Adjacent sequences: A181482 A181483 A181484 * A181486 A181487 A181488


KEYWORD

hard,more,nonn


AUTHOR

R. J. Mathar and M. F. Hasler, Oct 23 2010


EXTENSIONS

a(10)a(13) from Donovan Johnson, Jun 14 2011
a(14)a(15) from Robert Gerbicz, Apr 10 2012


STATUS

approved



