A328833 A276085 applied to the intersection of A048103 (p^p-free numbers) and A276156 (sums of distinct primorials).

0, 1, 2, 3, 30, 4, 9, 6469693230, 212, 200560490130, 510511, 2312, 39, 7799922041683461553249199106329813876687996789903550945093032474868511536164700810, 7858321551080267055879092, 6469693260, 2566376117594999414479597815340071648394471, 557940830126698960967415392, 1062411448280052319722448549835623701226301211611796930357321893850294264731624591303255041960530, 421, 7420738134813, 512820, 3217644767340672907899084554132, 249

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..34

Index entries for sequences related to primorial base

Formula

a(n) = A276085(A328832(n)).

Prog

(PARI)
A129251(n) = { my(f = factor(n)); sum(k=1, #f~, (f[k, 2]>=f[k, 1])); };
A328828(n) = { my(i=1, p=2); while(n, if((n%p)>1, return(i)); i++; n = n\p; p = nextprime(1+p)); (0); };
isA328832(n) = ((0==A129251(n)) && (0==A328828(n)));
A002110(n) = prod(i=1, n, prime(i));
A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };
for(n=1, 32768, if(isA328832(n), print1(A276085(n), ", ")));

Crossrefs

Cf. A002110, A129251, A048103, A276085, A276156, A328828, A328832.

Cf. A328836 (same terms, sorted into ascending order).

Cf. A328313 (a subsequence).

Sequence in context: A270550 A366477 A076977 * A109886 A277811 A127615

Adjacent sequences: A328830 A328831 A328832 * A328834 A328835 A328836

Keyword

nonn

Author

Antti Karttunen, Oct 30 2019

Status

approved