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A289622 Compound filter (prime signature & Carmichael's lambda): a(n) = P(A046523(n), A002322(n)), where P(n,k) is sequence A000027 used as a pairing function. 2
1, 3, 5, 14, 12, 27, 23, 44, 40, 42, 57, 90, 80, 61, 42, 187, 138, 148, 173, 117, 61, 111, 255, 324, 257, 142, 308, 148, 408, 558, 467, 773, 111, 216, 142, 856, 668, 259, 142, 375, 822, 625, 905, 222, 265, 357, 1083, 1323, 994, 477, 216, 265, 1380, 844, 306, 430, 259, 534, 1713, 2013, 1832, 601, 148, 3145, 142, 771, 2213, 363, 357 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = (1/2)*(2 + ((A046523(n)+A002322(n))^2) - A046523(n) - 3*A002322(n)).

PROG

(PARI)

A002322(n) = lcm(znstar(n)[2]); \\ This function from Charles R Greathouse IV, Aug 04 2012

A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ This function from Charles R Greathouse IV, Aug 17 2011

A289622(n) = (1/2)*(2 + ((A046523(n)+A002322(n))^2) - A046523(n) - 3*A002322(n));

CROSSREFS

Cf. A000027, A002322, A046523, A286160, A286360, A286573.

Sequence in context: A227170 A028942 A278314 * A179213 A074378 A185301

Adjacent sequences:  A289619 A289620 A289621 * A289623 A289624 A289625

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jul 16 2017

STATUS

approved

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Last modified September 21 12:03 EDT 2019. Contains 327253 sequences. (Running on oeis4.)