A284563 a(n) = A247503(A277324(n)).

2, 2, 2, 10, 10, 10, 50, 10, 10, 250, 250, 50, 250, 250, 50, 110, 110, 250, 6250, 1250, 1250, 31250, 6250, 550, 2750, 6250, 6250, 13750, 2750, 2750, 6050, 110, 110, 30250, 68750, 13750, 343750, 781250, 156250, 151250, 151250, 781250, 19531250, 1718750, 343750, 8593750, 756250, 6050, 30250, 756250, 1718750, 3781250, 3781250, 8593750, 18906250, 151250

Offset

0,1

Links

Antti Karttunen, Table of n, a(n) for n = 0..4096

Formula

a(n) = A247503(A277324(n)).

a(n) = A284553((2*n)+1).

Other identities. For all n >= 0:

A001222(a(n)) = A284565(n).

Mathematica

a[n_] := a[n] = Which[n < 2, n + 1, EvenQ@ n, Times @@ Map[#1^#2 & @@ # &, FactorInteger[#] /. {p_, e_} /; e > 0 :> {Prime[PrimePi@ p + 1], e}] - Boole[# == 1] &@ a[n/2], True, a[#] a[# + 1] &[(n - 1)/2]]; Table[Times @@ (FactorInteger[#] /. {p_, e_} /; e > 0 :> (p^Mod[PrimePi@ p, 2])^e) &@ a[2 n + 1], {n, 0, 55}] (* Michael De Vlieger, Apr 05 2017 *)

Prog

(PARI) A284563(n) = A284553(n+n+1); \\ Other code as in A284553.
(Scheme)
(define (A284563 n) (A247503 (A277324 n)))
(define (A284563 n) (A284553 (+ n n 1)))

Crossrefs

Odd bisection of A284553.

Cf. A001222, A247503, A277324, A284564, A284565.

Sequence in context: A125695 A152681 A215603 * A138674 A351174 A254706

Adjacent sequences: A284560 A284561 A284562 * A284564 A284565 A284566

Keyword

nonn

Author

Antti Karttunen, Mar 29 2017

Status

approved