A217662 - OEIS

A217662

For n > 2 , a(n) = a(n-2) + lcm(a(n-2), n-1) with a(1)=2, a(2)=2.

2, 2, 4, 8, 8, 48, 32, 384, 64, 1536, 384, 18432, 768, 258048, 6144, 1548288, 12288, 27869184, 49152, 557383680, 294912, 1114767360, 3538944, 26754416640, 7077888, 160526499840, 99090432, 321052999680, 198180864, 9631589990400, 1189085184, 308210879692800

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OFFSET

1,1

COMMENTS

A217663(n) = a(n+2)/a(n)-1 consists of 1's and primes only.

LINKS

Table of n, a(n) for n=1..32.

FORMULA

For prime p > 2, a(p+1) = (p+1)*a(p-1), which proves the statement in A217663. - M. F. Hasler, Oct 11 2012

MATHEMATICA

RecurrenceTable[{a[n]==a[n-2]+LCM[n-1, a[n-2]], a[1] == 2, a[2]==2}, a, {n, 1, 24}]

t = {2, 2}; Do[AppendTo[t, t[[-2]] + LCM[n-1, t[[-2]]]], {n, 3, 40}]; t (* T. D. Noe, Oct 10 2012 *)

nxt[{n_, a_, b_}]:={n+1, b, a+LCM[a, n]}; NestList[nxt, {2, 2, 2}, 40][[All, 2]] (* Harvey P. Dale, Aug 20 2020 *)

CROSSREFS

Cf. A135504.

Sequence in context: A325880 A132007 A094605 * A085619 A085620 A325867

Adjacent sequences: A217659 A217660 A217661 * A217663 A217664 A217665

KEYWORD

nonn

AUTHOR

Pedja Terzic, Oct 10 2012

STATUS

approved