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A277200 Even terms in A260442 (in A260443). 5

%I #18 Oct 26 2016 15:12:11

%S 2,6,18,30,90,210,270,450,630,2310,6750,6930,9450,15750,20250,22050,

%T 30030,47250,90090,330750,510510,727650,1212750,1531530,1653750,

%U 2668050,3543750,4961250,8489250,9699690,18191250,24806250,25467750,29099070,40020750,53156250,57881250,104053950,173423250,173643750

%N Even terms in A260442 (in A260443).

%C All odd terms larger > 1 in A260442 can be obtained from these terms by shifting their prime factorization some number of steps towards larger primes with A003961.

%o (PARI)

%o allocatemem(2^30);

%o A061395(n) = if(1==n, 0, primepi(vecmax(factor(n)[, 1]))); \\ After _M. F. Hasler_'s code for A006530.

%o A048675(n) = my(f = factor(n)); sum(k=1, #f~, f[k, 2]*2^primepi(f[k, 1]))/2; \\ _Michel Marcus_, Oct 10 2016

%o A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From _Michel Marcus_

%o A260443(n) = if(n<2, n+1, if(n%2, A260443(n\2)*A260443(n\2+1), A003961(A260443(n\2))));

%o isA277200(n) = (!(n%2) && (omega(n) == A061395(n)) && (A260443(A048675(n)) == n));

%o i=1; n=0; while(i < 100, n++; if(isA277200(n), write("b277200.txt", i, " ", n); i++));

%Y Cf. A003961, A260442, A260443.

%Y Sequence A277324 sorted into ascending order.

%Y Subsequence of A055932.

%Y Cf. A002110, A277317 (subsequences, apart from their initial terms).

%Y Also all terms of A277318 apart from initial 3 are included in this sequence.

%K nonn

%O 1,1

%A _Antti Karttunen_, Oct 14 2016

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)