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A007745 a(n) = n OR n^2 (applied to binary expansions). 8
1, 6, 11, 20, 29, 38, 55, 72, 89, 110, 123, 156, 173, 206, 239, 272, 305, 342, 379, 404, 445, 502, 535, 600, 633, 702, 731, 796, 861, 926, 991, 1056, 1121, 1190, 1259, 1332, 1405, 1446, 1527, 1640, 1721, 1774, 1851, 1980, 2029, 2158, 2223, 2352, 2417, 2550 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

MAPLE

a:= n-> Bits[Or](n, n^2):

seq(a(n), n=1..100);  # Alois P. Heinz, Mar 29 2018

MATHEMATICA

(* program should not be used to extend this sequence *)

d = 15; Mb = Array[ 2^(d - #)&, d ]; Map[ Plus@@(Mb*#)&, Array[ IntegerDigits[ #, 2, d ] + IntegerDigits[ #^2, 2, d ]&, 180 ]/. (2->1) ] (* Mocquard and Bouchon *)

Table[BitOr[n, n^2], {n, 100}] (* Vladimir Joseph Stephan Orlovsky, Jul 19 2011 *)

PROG

(Haskell)

import Data.Bits ((.|.))

a007745 n = n .|. (n ^ 2)  -- Reinhard Zumkeller, Apr 28 2014

(PARI) a(n) = bitor(n, n^2); \\ Michel Marcus, Mar 30 2018

(MAGMA) [BitwiseOr(n, n^2): n in [1..50]]; // Bruno Berselli, Mar 30 2018

CROSSREFS

Cf. A169810 (XOR), A213541 (AND), A002378.

Sequence in context: A083500 A102305 A160842 * A188556 A021011 A000382

Adjacent sequences:  A007742 A007743 A007744 * A007746 A007747 A007748

KEYWORD

base,nonn,easy

AUTHOR

J. P. Mocquard and D. Bouchon (BOUCHON(AT)zeus.univ-poitiers.fr)

STATUS

approved

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Last modified August 16 03:24 EDT 2018. Contains 313782 sequences. (Running on oeis4.)