A099537 -id:A099537 - cp's OEIS frontend

A099538 Sum of the first n digits of sqrt(2), including the initial "1".

1, 5, 6, 10, 12, 13, 16, 21, 27, 29, 32, 39, 42, 42, 51, 56, 56, 60, 68, 76, 76, 77, 83, 91, 99, 106, 108, 112, 114, 114, 123, 129, 138, 146, 146, 153, 161, 166, 172, 181, 187, 194, 195, 203, 210, 215, 218, 225, 231, 240, 244, 252, 252, 259, 262, 263, 270, 276, 282

Offset: 1

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 22 2004

			sqrt(2)=1.41421356237... so the sums are 1, 1+4, 1+4+1, 1+4+1+4, 1+4+1+4+2,...
which gives 1, 5, 6, 10, 12,...

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A002193 for digits of sqrt(2). Other sequences like this one for other constants: A099534-A099537, A039918, A046974, A046975.

Accumulate[RealDigits[Sqrt[2],10,60][[1]]] (* Harvey P. Dale, May 30 2012 *)

A099539 Sum of the first n decimal places of sqrt(2).

Original entry on oeis.org

4, 5, 9, 11, 12, 15, 20, 26, 28, 31, 38, 41, 41, 50, 55, 55, 59, 67, 75, 75, 76, 82, 90, 98, 105, 107, 111, 113, 113, 122, 128, 137, 145, 145, 152, 160, 165, 171, 180, 186, 193, 194, 202, 209, 214, 217, 224, 230, 239, 243, 251, 251, 258, 261, 262, 269, 275, 281

Offset: 1

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 22 2004

Cf. A099538 for a version of this sequence resulting from including all digits of sqrt(2) and not just the digits after the decimal point.

			Decimal places of sqrt(2) are 41421356237... so sums are 4, 4+1, 4+1+4, 4+1+4+2,... which gives 4, 5, 9, 11, ...

G. C. Greubel, Table of n, a(n) for n = 1..10000

Cf. A099538 and A099534, A099535, A099536, A099537, A039918, A046974, A046975 for analogous sequences based on other constants.

Accumulate[Rest[RealDigits[N[Sqrt[2],70]][[1]]]] (* Harvey P. Dale, Dec 12 2010 *)

a(n) = A099538(n+1) - 1.

cp's OEIS Frontend

A099538 Sum of the first n digits of sqrt(2), including the initial "1".

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