A277323 Even bisection of A260443 (the odd terms): a(n) = A260443(2*n).

1, 3, 5, 15, 7, 75, 35, 105, 11, 525, 245, 2625, 77, 3675, 385, 1155, 13, 5775, 2695, 128625, 847, 643125, 18865, 202125, 143, 282975, 29645, 1414875, 1001, 444675, 5005, 15015, 17, 75075, 35035, 15563625, 11011, 346644375, 2282665, 108945375, 1859, 544726875, 15978655, 12132553125, 121121, 3813088125, 2697695

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..1024

Formula

a(n) = A260443(2*n).

a(0) = 1; for n >= 1, a(n) = A003961(A260443(n)).

Other identities. For all n >= 0:

A007949(a(n)) = A000035(n).

A112765(a(n)) is the interleaving of A000035 and A005811, probably A101979.

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[a[2 n], {n, 0, 46}] (* Michael De Vlieger, Apr 05 2017 *)

Prog

(Scheme, two versions)
(define (A277323 n) (A260443 (* 2 n)))
(define (A277323 n) (if (zero? n) 1 (A003961 (A260443 n))))

Crossrefs

Cf. A000035, A005811, A007949, A101979, A112765, A260443, A277324.

Sequence in context: A180620 A336882 A332382 * A340194 A353340 A160046

Adjacent sequences: A277320 A277321 A277322 * A277324 A277325 A277326

Keyword

nonn

Author

Antti Karttunen, Oct 10 2016

Status

approved