A110883 Sum of consecutive digits in the decimal expansion of Pi.

4, 5, 5, 6, 14, 11, 8, 11, 8, 8, 13, 17, 16, 16, 12, 5, 5, 11, 12, 10, 8, 8, 10, 7, 6, 11, 11, 5, 9, 16, 14, 5, 2, 10, 16, 12, 5, 10, 16, 8, 7, 15, 12, 12, 18, 12, 10, 12, 6, 1, 5, 13, 10, 2, 9, 16, 11, 13, 13, 8, 9, 14, 11, 5, 3, 7, 15, 9, 7, 10, 4, 6, 8, 10, 14, 8, 2, 8, 17, 18, 17, 14, 8

Offset

1,1

Links

Table of n, a(n) for n=1..83.

B. Deal, Sequence puzzle posting at Clifford Pickover forum. [Broken link]

B. Deal, Home Page.

A. Frank and P. Jacqueroux, International Contest, 2001. Item 25.

Formula

a(n) = p(n) + p(n+1) where p(n) is the n-th digit of Pi (see sequence A000796).

a(n) = A000796(n) + A000796(n+1).

Example

a(1)=3+1 = 4, a(2)=1+4 = 5, a(3)=4+1 = 5, a(4)=1+5 = 6, a(5)=5+9 = 14

Mathematica

listlength = 100; Table[IntegerDigits[IntegerPart[10^listlength Pi]][[i]] + IntegerDigits[IntegerPart[10^listlength (Pi - 3.0`100)]][[i]], {i, 1, listlength}]

Crossrefs

Cf. A000796.

Sequence in context: A157727 A028276 A316150 * A178131 A071570 A336047

Adjacent sequences: A110880 A110881 A110882 * A110884 A110885 A110886

Keyword

base,nonn

Author

Blaine J. Deal and Mark Nandor, Sep 19 2005

Extensions

Typo in formula fixed by Zak Seidov, Jan 02 2014

Status

approved