A110883 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Blaine Deal, Home Page.

Albert Frank and Philippe 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}]

(* Alternative: *)

Total[Partition[First[RealDigits[Pi, 10, 100]], 2, 1], {2}] (* Paolo Xausa, Aug 22 2025 *)

CROSSREFS

Cf. A000796.

Sequence in context: A374830 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