A110883 - OEIS

%I #14 Mar 24 2023 04:23:36

%S 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,

%T 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,

%U 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

%N Sum of consecutive digits in the decimal expansion of Pi.

%H B. Deal, <a href="http://seqpost.notlong.com">Sequence puzzle posting at Clifford Pickover forum</a>. [Broken link]

%H B. Deal, <a href="http://pi314159.notlong.com">Home Page</a>.

%H A. Frank and P. Jacqueroux, <a href="http://www.paulcooijmans.com/others/intcontest.pdf">International Contest</a>, 2001. Item 25.

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

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

%e 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

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

%Y Cf. A000796.

%K base,nonn

%O 1,1

%A Blaine J. Deal and Mark Nandor, Sep 19 2005

%E Typo in formula fixed by _Zak Seidov_, Jan 02 2014