A227616 - OEIS

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A227616

Number of bits set to 1 in the binary representation of the n-th term of the Lucas-Lehmer sequence (A003010).

1, 3, 3, 5, 12, 30, 58, 128, 237, 476, 975, 1956, 3899, 7798, 15534, 31270, 62262, 124635, 248944, 497797, 995730, 1990576, 3983767, 7969049, 15935289, 31870309, 63739461, 127519282, 254994762, 510016513, 1020092276, 2040066241, 4080236749

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..32.

FORMULA

a(n) = A000120(A003010(n)).

EXAMPLE

For n = 2, A003010(2) = 11000010 (in binary), so a(2) = 3.

MAPLE

read("transforms") :

A227616 := proc(n)

wt(A003010(n)) ;

end proc: # R. J. Mathar, Jul 20 2013

MATHEMATICA

First@ DigitCount[#, 2] & /@ NestList[#^2 - 2 &, 4, 28] (* Michael De Vlieger, Apr 04 2016 *)

PROG

(PARI) lista(nn) = {a = 4; print1(hammingweight(a), ", "); for (n=1, nn, a = a^2-2; print1(hammingweight(a), ", "); ); } \\ Michel Marcus, Apr 04 2016

CROSSREFS

Cf. A003010, A227608, A227615.

Sequence in context: A360024 A142701 A257351 * A079439 A231895 A218426

Adjacent sequences: A227613 A227614 A227615 * A227617 A227618 A227619

KEYWORD

nonn,base

AUTHOR

Olivier de Mouzon, Jul 17 2013

EXTENSIONS

Terms from a(19) on from Michel Marcus, Apr 04 2016

STATUS

approved