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A359316
a(n) is the smallest centered square number with binary weight n.
1
1, 5, 13, 85, 61, 221, 761, 1013, 2813, 12013, 23545, 54781, 16381, 196565, 425965, 770041, 3137513, 7663613, 13629421, 20962813, 63946741, 121602013, 192805885, 499122013, 989724541, 2411720701, 6435110905, 17162301181, 29929502461, 63753420281
OFFSET
1,2
EXAMPLE
221 is the smallest centered square number with binary weight 6 (221_10 = 11011101_2), so a(6) = 221.
MATHEMATICA
seq[len_, nmax_] := Module[{s = Table[0, {len}], n = 0, c = 0, bw, cs}, While[c < len && n < nmax, bw = DigitCount[cs = 2*n*(n+1) + 1, 2, 1]; If[bw <= len && s[[bw]] == 0, c++; s[[bw]] = cs]; n++]; s]; seq[30, 10^6] (* Amiram Eldar, Dec 26 2022 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Ilya Gutkovskiy, Dec 25 2022
STATUS
approved