A394887 Terms k in A328116 corresponding to records in A394886.

1, 2, 4, 32, 256, 2560, 6144, 155648, 540672, 12288000, 13434880, 25296896, 58982400, 487063552, 800063488, 937426944, 1258291200

Offset

1,2

Comments

The values that A051903 (and also A007814) obtains for the 17 initial terms are: 0, 1, 2, 5, 8, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24.

If it exists, a(18) > 2^32.

Links

Table of n, a(n) for n=1..17.

Example

Let x = A276086(a(17)) = A276086(1258291200) = 32470244413303490673777468789898714556998166594933197461202886423699943691 = 7^6 * 11^8 * 13 * 17^13 * 19^13 * 23^14 * 29^5. A099307(x) = 22, so x is in A099308, thus 1258291200 is in A328116, and it is also the first value in that sequence with the maximal exponent (A051903) = 24, which is larger than the previous record, which was 21.

Prog

(PARI)
\\ Uses also the code given in A394886:
m=-1; k=0; for(n=1, 2^35, if(!(n%(2^25)), print1("("n")")); e=A051903(n); if(e>m && is_A328116(n), m=e; k++; write("b394887.txt", k, " ", n); print1(n, "(", m, "), ")));

Crossrefs

Cf. A051903, A099308, A328116, A394886.

Cf. also A369645, A394885.

Sequence in context: A122693 A019060 A366365 * A247014 A085055 A075070

Adjacent sequences: A394884 A394885 A394886 * A394888 A394889 A394890

Keyword

nonn,more

Author

Antti Karttunen, Apr 06 2026

Status

approved