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A255047 1 together with the positive terms of A000225. 4
1, 1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095, 8191, 16383, 32767, 65535, 131071, 262143, 524287, 1048575, 2097151, 4194303, 8388607, 16777215, 33554431, 67108863, 134217727, 268435455, 536870911, 1073741823, 2147483647, 4294967295 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also, right border of A246674 arranged as an irregular triangle.

Essentially the same as A168604, A126646 and A000225.

Total number of lambda-parking functions induced by all partitions of n. a(0)=1: [], a(1)=1: [1], a(2)=3: [1], [2], [1,1], a(4)=7: [1], [2], [3], [1,1], [1,2], [2,1], [1,1,1]. - Alois P. Heinz, Dec 04 2015

LINKS

Table of n, a(n) for n=0..32.

R. Stanley, Parking Functions, 2011

FORMULA

G.f.: (2*x^2-2*x+1)/((2*x-1)*(x-1)). - Alois P. Heinz, Feb 19 2015

E.g.f.: exp(2*x)-exp(x)+1. - Alois P. Heinz, Feb 19 2015

CROSSREFS

Cf. A000225, A011782, A028310, A246674, A253909, A265007, A265202.

Row n=1 of A263159.

Sequence in context: A126646 A000225 A225883 * A168604 A123121 A117060

Adjacent sequences:  A255044 A255045 A255046 * A255048 A255049 A255050

KEYWORD

nonn

AUTHOR

Omar E. Pol, Feb 15 2015

STATUS

approved

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Last modified June 22 12:24 EDT 2017. Contains 288613 sequences.