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A249734 Even bisection of A003961: Replace in 2n each prime factor p(k) with prime p(k+1).

%I A249734 #17 Dec 13 2014 00:37:16
%S A249734 3,9,15,27,21,45,33,81,75,63,39,135,51,99,105,243,57,225,69,189,165,
%T A249734 117,87,405,147,153,375,297,93,315,111,729,195,171,231,675,123,207,
%U A249734 255,567,129,495,141,351,525,261,159,1215,363,441,285,459,177,1125,273,891,345,279,183,945,201,333,825,2187,357,585,213,513,435,693,219,2025,237,369
%N A249734 Even bisection of A003961: Replace in 2n each prime factor p(k) with prime p(k+1).
%H A249734 Antti Karttunen, <a href="/A249734/b249734.txt">Table of n, a(n) for n = 1..10000</a>
%F A249734 a(n) = A003961(2*n).
%F A249734 a(n) = 3 * A003961(n).
%F A249734 a(n) = A064989(A249827(n)).
%F A249734 a(n) = A003961(A243501(A064216(n))).
%F A249734 a(n) = A003961(A243502(A048673(n))).
%F A249734 a(n) = A016945(A048673(n)-1). [Permutation of A016945, 6n+3.]
%F A249734 Other identities. For all n >= 1:
%F A249734 a(A000079(n-1)) = A000244(n). [Maps each 2^n to 3^(n+1).]
%o A249734 (Scheme, two alternative definitions)
%o A249734 (define (A249734 n) (A003961 (+ n n)))
%o A249734 (define (A249734 n) (* 3 (A003961 n)))
%Y A249734 Row 2 of A246278.
%Y A249734 Cf. A249735 (the other bisection of A003961).
%Y A249734 Cf. A016945, A048673, A064216, A064989, A249827, A243501, A243502.
%Y A249734 Cf. also A000079, A000244.
%K A249734 nonn
%O A249734 1,1
%A A249734 _Antti Karttunen_, Nov 23 2014