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A275079 The number of 2-compositions of n of Carlitz type. 0
1, 2, 5, 18, 53, 162, 505, 1548, 4756, 14650, 45065, 138622, 426528, 1312242, 4037155, 12420806, 38213753, 117567880, 361708733, 1112830322, 3423724282, 10533403974, 32406988208, 99703082744, 306745721586, 943731474930 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

E. Munarini, M. Poneti, S. Rinaldi, Matrix compositions, JIS 12 (2009) 09.4.8, Table 3.

MAPLE

m := 2 ;

kmax := 30 ;

add((-1)^k*(1-(1-x^k)^m)/(1-x^k)^m, k=1..kmax) ;

1/(1+%) ;

taylor(%, x=0, kmax-1) ;

gfun[seriestolist](%) ;

CROSSREFS

Cf. A003242 (1-compositions).

Sequence in context: A295905 A056296 A293964 * A148417 A148418 A148419

Adjacent sequences:  A275076 A275077 A275078 * A275080 A275081 A275082

KEYWORD

nonn

AUTHOR

R. J. Mathar, Jul 15 2016

STATUS

approved

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Last modified June 12 19:31 EDT 2021. Contains 344960 sequences. (Running on oeis4.)