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A089998 Smallest square with Hamming weight n (i.e., with exactly n 1's when written in binary). 4
0, 1, 9, 25, 169, 121, 441, 1521, 2025, 5625, 24025, 47089, 109561, 32761, 393129, 851929, 1540081, 6275025, 15327225, 27258841, 41925625, 127893481, 243204025, 385611769, 998244025, 1979449081, 4823441401, 12870221809, 34324602361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

A000120(a(n)) = n.

LINKS

Donovan Johnson, Table of n, a(n) for n = 0..60

MATHEMATICA

a = Table[0, {30}]; Do[c = Count[IntegerDigits[n^2, 2], 1]; If[ a[[c + 1]] == 0, a[[c + 1]] = n^2; Print[c, " = ", n^2]], {n, 1, 360000}] (* Robert G. Wilson v, Dec 03 2003 *)

Join[{0}, With[{s=DigitCount[Range[400000]^2, 2, 1]}, Flatten[Table[ Position[ s, _?(#==n&), 1, 1], {n, 30}]]]^2] (* Harvey P. Dale, Mar 03 2013 *)

CROSSREFS

Cf. A000290, A089999, A061712, A090001.

Sequence in context: A146373 A084605 A098773 * A014728 A223646 A018929

Adjacent sequences:  A089995 A089996 A089997 * A089999 A090000 A090001

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 20 2003

EXTENSIONS

More terms from Robert G. Wilson v, Dec 03 2003

Offset corrected by Donovan Johnson, May 01 2012

STATUS

approved

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Last modified July 14 21:41 EDT 2020. Contains 335737 sequences. (Running on oeis4.)