A131468 Sum of all n-digit Catalan numbers.

9, 56, 561, 6292, 75582, 950912, 12369285, 35357670, 607283490, 8331383610, 115948830660, 343059613650, 6151850548776, 87900903988156, 263747951750360, 4817228718743672, 70078700916275107, 1025280172561973874, 3116285494907301262

Offset

1,1

Links

Table of n, a(n) for n=1..19.

R. P. Stanley and Eric Weisstein Catalan Number

Example

Sum of all 1-digit Catalan numbers is 9.
Sum of all 2-digit Catalan numbers is 56.
Sum of all 3-digit Catalan numbers is 561.

Maple

A131468 := proc(n)
    local a, C, j;
    a := 0 ;
    for j from 0 do
        C := A000108(j) ;
        nd := A055642(C) ;
        if nd >n then
            return a;
        elif nd = n then
            a := a+C ;
        end if;
    end do:
end proc: # R. J. Mathar, Jun 20 2015

Crossrefs

Cf. A000108.

Sequence in context: A037613 A274553 A221801 * A231970 A197530 A086888

Adjacent sequences: A131465 A131466 A131467 * A131469 A131470 A131471

Keyword

nonn,base

Author

Parthasarathy Nambi, Oct 01 2007

Status

approved