A261209 First differences of partitions of n in the ordering A080577.

1, 2, 0, 1, 3, 1, 1, 0, 0, 1, 4, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 5, 3, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 6, 4, 1, 2, 2, 3, 0, 1, 0, 3, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1

Offset

1,2

Links

Table of n, a(n) for n=1..77.

Example

For n=6:
[6]
[4, 1]
[2, 2]
[3, 0, 1]
[0, 3]
[1, 1, 1]
[2, 0, 0, 1]
[0, 0, 2]
[0, 1, 0, 1]
[1, 0, 0, 0, 1]
[0, 0, 0, 0, 0, 1]

Prog

(Sage)
def A261209(n):
    delta = lambda p: [p[i]-p[i+1] for i in (0..len(p)-2)]+[p[-1]] if p else []
    return [delta(p) for p in Partitions(n)]
[A261209(n) for n in (1..6)]

Crossrefs

Cf. A080577.

Sequence in context: A168532 A181940 A356154 * A340006 A093555 A065432

Adjacent sequences: A261206 A261207 A261208 * A261210 A261211 A261212

Keyword

nonn,tabf

Author

Peter Luschny, Aug 12 2015

Status

approved