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A181485
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Indices of records in A171919 = number of solutions to n=x*y*z, x+y=z+1.
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2
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1, 4, 112, 144, 23400, 28224, 247104, 604800, 26812800, 2677752000, 6805814400, 165145780800, 1248124550400, 17996854730400, 388778796252000
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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EXAMPLE
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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.
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PROG
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(PARI) m=0; for(n=1, 1e9, A171919(n)>m | next; m=A171919(n); print1(n", "))
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CROSSREFS
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KEYWORD
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hard,more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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