

A099539


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


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
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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



