A111054 Sum of squares of digits of decimal expansion of square root of 2.

1, 17, 18, 34, 38, 39, 48, 73, 109, 113, 122, 171, 180, 180, 261, 286, 286, 302, 366, 430, 430, 431, 467, 531, 595, 644, 648, 664, 668, 668, 749, 785, 866, 930, 930, 979, 1043, 1068, 1104, 1185, 1221, 1270, 1271, 1335, 1384, 1409, 1418, 1467, 1503, 1584

Offset

1,2

Links

Table of n, a(n) for n=1..50.

Accumulate[RealDigits[Sqrt[2],10,50][[1]]^2] (* James C. McMahon, Apr 30 2024 *)

Formula

a(n) = Sum_{i=1..n} A002193(i)^2.

Example

a(1) = 1^2 = 1,
a(2) = 1^2 + 4^2 = 17,
a(3) = 1^2 + 4^2 + 1^2 = 18,
a(4) = 1^2 + 4^2 + 1^2 + 4^2 = 36,
a(10) = 1^2 + 4^2 + 1^2 + 4^2 + 2^2 + 1^2 + 3^2 + 5^2 + 6^2 + 2^2 = 113.

Crossrefs

Cf. A002193, A111033, A111034.

Sequence in context: A255923 A226673 A151978 * A242975 A155561 A231505

Adjacent sequences: A111051 A111052 A111053 * A111055 A111056 A111057

Keyword

base,easy,nonn,less

Author

Jonathan Vos Post, Oct 06 2005

Status

approved