OFFSET
0,3
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..10000
FORMULA
Sum_{n>=1} (-1)^(n+1)/a(n) = Sum_{n>=1} (-1/2)^(n-1)/(2^n-1) = 0.86233289403022175171... . - Amiram Eldar, Feb 17 2024
EXAMPLE
Written as a triangle:
0;
1;
3, 3;
6, 6, 6, 6, 6;
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10;
...
MAPLE
T:= n-> n*(n+1)/2$binomial(2*n, n)/(n+1):
seq(T(n), n=0..5); # Alois P. Heinz, Feb 16 2024
MATHEMATICA
Flatten[Array[Table[PolygonalNumber[#], CatalanNumber[#]] &, 7, 0]]
CROSSREFS
KEYWORD
nonn,easy,tabf
AUTHOR
Paolo Xausa, Feb 14 2024
STATUS
approved