A386370 Square roots of partial sums of A386369 that are square numbers.

0, 1, 3, 9, 15, 37, 47, 117, 327, 957, 2847, 8517, 25527, 33129, 33291, 46653, 66855, 147661, 161689, 218691, 503481, 629673, 919347, 2076921, 3007455, 7100533, 7931517, 9022563, 9100641, 11272057, 11437383, 15080379, 32539617, 37443597, 37821775, 53419727

Offset: 1

Author

Rémy Sigrist, Jul 19 2025

Keywords

• nonn

Examples

			A386369(1) + ... + A386369(6) = 3^2, so 3 belongs to this sequence.
		

Crossrefs

Cf. A386369, A386687, A386688.

Programs

Mathematica

Module[{s = 0, a = 0}, Table[If[IntegerQ[#], a = k; #, Nothing] & [Sqrt[s += a]], {k, 10^5}]] (* Paolo Xausa, Jul 29 2025, after Rémy Sigrist  *)

PARI

{ t = 0; v = 0; for (n = 1, 86903746, t += v; if (issquare(t), print1 (sqrtint(t) ", "); v = n;);); }

Formula

a(n) = sqrt(A386688(n)). - Paolo Xausa, Jul 29 2025

Extensions

Offset changed to 1 by Paolo Xausa, Jul 29 2025