A130450 Sum of all n-digit Padovan numbers.

37, 314, 2978, 28243, 365083, 3365185, 31915109, 302679996, 2870589600, 37106668865, 342034020651, 3243819596611, 30764090529153, 291763841329126, 2767061780242106, 35768416776972079, 329698563001107755, 3126831236266826873

Offset

1,1

Comments

The ratio of the (n+1)-th term to the n-th term is approximately 9.5.

The n-th term contains (n+1) digits.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..200

Example

The sum of all 1-digit Padovan numbers is a(1)=37.
The sum of all 2-digit Padovan numbers is a(2)=314.

Maple

A000931 := proc(n) option remember: if(n=0)then return 1: elif(n<=2)then return 0: fi: return procname(n-2)+procname(n-3): end: for n from 0 to 200 do A130450[n]:=0: od: for n from 0 to 1643 do A130450[length(A000931(n))] := A130450[length(A000931(n))] + A000931(n): od: seq(A130450[n], n=1..20); # Nathaniel Johnston, May 05 2011

Crossrefs

Cf. A000931.

Sequence in context: A165292 A114785 A061014 * A271184 A217117 A291859

Adjacent sequences: A130447 A130448 A130449 * A130451 A130452 A130453

Keyword

nonn,base

Author

Parthasarathy Nambi, Aug 08 2007, Aug 09 2007

Extensions

a(9)-a(18) from Nathaniel Johnston, May 05 2011

Status

approved