A186192 First digit of pentanacci numbers A000322.

1, 1, 1, 1, 1, 5, 9, 1, 3, 6, 1, 2, 4, 9, 1, 3, 7, 1, 2, 5, 1, 2, 4, 8, 1, 3, 6, 1, 2, 4, 9, 1, 3, 7, 1, 2, 5, 1, 2, 4, 8, 1, 3, 6, 1, 2, 4, 9, 1, 3, 7, 1, 2, 5, 1, 2, 4, 8, 1, 3, 6, 1, 2, 4, 9, 1, 3, 6, 1, 2, 5, 1, 2, 4, 7, 1, 3, 6, 1, 2, 4, 8, 1, 3, 6, 1, 2, 5, 1, 2, 3, 7, 1, 2, 5, 1, 2, 4, 8, 1, 3, 6, 1, 2, 5

Offset

1,6

Comments

Sequence obeys Benford law about distribution of first digits in a sequence P(n)=Log(1+1/n).

Links

Indranil Ghosh, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Benford's law

Example

a(15)=1 since Penta(15)=1921.

Mathematica

t = {1, 1, 1, 1, 1}; Do[AppendTo[t, t[[-1]] + t[[-2]] + t[[-3]] + t[[-4]] + t[[-5]]], {100}]; Table[IntegerDigits[i][[1]], {i, t}]
First[IntegerDigits[#]]&/@LinearRecurrence[{1, 1, 1, 1, 1}, {1, 1, 1, 1, 1}, 110] (* Harvey P. Dale, Mar 28 2013 *)

Crossrefs

Cf. A000322.

Sequence in context: A188616 A274418 A127414 * A231532 A086201 A362742

Adjacent sequences: A186189 A186190 A186191 * A186193 A186194 A186195

Keyword

nonn,base

Author

Carmine Suriano, Feb 14 2011

Status

approved