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

Author

Blaine J. Deal and Mark Nandor, Sep 19 2005

Keywords

• base
• nonn
• changed

Examples

			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
		

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.

Crossrefs

Cf. A000796.

Programs

Mathematica

listlength = 100; Table[IntegerDigits[IntegerPart[10^listlength Pi]][[i]] + IntegerDigits[IntegerPart[10^listlength (Pi - 3.0`100)]][[i]], {i, 1, listlength}]
(* Second program: *)
Total[Partition[First[RealDigits[Pi, 10, 100]], 2, 1], {2}] (* Paolo Xausa, Aug 22 2025 *)

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).

Extensions

Typo in formula fixed by Zak Seidov, Jan 02 2014