A196251 Leading terms of successive absolute differences of the partition numbers (A000041).

1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 67, 67

Offset

0,125

Links

Pontus von Brömssen, Table of n, a(n) for n = 0..10000

Pontus von Brömssen, Scatterplot of n, a(n) for n = 0..100000.

Wikipedia, Gilbreath's_conjecture

Index entries for sequences related to Gilbreath conjecture and transform.

Mathematica

First /@ NestList[Abs[Differences[#]] &, PartitionsP /@ Range[0, 125], 125]

Crossrefs

Gilbreath transform of A000041.

Cf. A036262, A362451.

Sequence in context: A033387 A102891 A145175 * A246783 A169936 A045808

Adjacent sequences: A196248 A196249 A196250 * A196252 A196253 A196254

Keyword

nonn,look

Author

Vladimir Reshetnikov, Oct 27 2011

Status

approved