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

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

1,1

Comments

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.

Links

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

Formula

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

Example

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, ...

Mathematica

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

Crossrefs

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

Sequence in context: A096808 A067261 A001161 * A110603 A224862 A010416

Adjacent sequences: A099536 A099537 A099538 * A099540 A099541 A099542

Keyword

base,easy,nonn

Author

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

Status

approved