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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
OFFSET
0,2
LINKS
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
KEYWORD
nonn
AUTHOR
R. J. Mathar, Jul 15 2016
STATUS
approved