A278263 Least number with the same prime signature as the n-th term of EKG-sequence: a(n) = A046523(A064413(n)).

1, 2, 4, 6, 2, 4, 12, 8, 6, 2, 6, 12, 6, 2, 6, 24, 16, 12, 6, 2, 6, 8, 30, 4, 6, 12, 6, 2, 6, 36, 32, 6, 2, 6, 30, 6, 2, 6, 12, 24, 12, 6, 2, 6, 48, 12, 12, 24, 24, 4, 12, 60, 6, 6, 30, 6, 2, 6, 30, 6, 2, 6, 72, 64, 12, 6, 2, 6, 12, 30, 12, 48, 6, 2, 6, 16, 60, 6, 24, 6, 2, 6, 60, 6, 6, 36, 12, 6, 2, 6, 96, 12, 6, 24, 30, 12, 30, 72, 6, 2, 6, 30, 30, 48, 12, 6

Offset

1,2

Comments

This sequence works as a "sentinel" for EKG-sequence by matching to any sequence that is obtained as f(A064413(n)), where f(n) is any function that depends only on the prime signature of n (see the index entry for "sequences computed from exponents in ..."). The last line in Crossrefs section lists such sequences that were present in the database as of Nov 11 2016.

Terms and b-file computed from b-file of A064413 provided by Zak Seidov.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences computed from exponents in factorization of n

Formula

a(n) = A046523(A064413(n)).

Prog

(Scheme) (define (A278263 n) (A046523 (A064413 n)))

Crossrefs

Cf. A046523, A064413, A278264.

Sequences that partition N into same or coarser equivalence classes: A064742, A065203.

Sequence in context: A053446 A354577 A133903 * A236188 A352599 A242593

Adjacent sequences: A278260 A278261 A278262 * A278264 A278265 A278266

Keyword

nonn

Author

Antti Karttunen, Nov 16 2016

Status

approved