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A253190 Triangle T(n, m)=Sum_{k=1..(n-m)/2} C(m+k-1, k)*T((n-m)/2, k)), T(n,n)=1. 3
1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 3, 0, 1, 0, 3, 0, 4, 0, 1, 2, 0, 6, 0, 5, 0, 1, 0, 6, 0, 10, 0, 6, 0, 1, 3, 0, 13, 0, 15, 0, 7, 0, 1, 0, 11, 0, 24, 0, 21, 0, 8, 0, 1, 5, 0, 27, 0, 40, 0, 28, 0, 9, 0, 1, 0, 20, 0, 55, 0, 62, 0, 36, 0, 10, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Table of n, a(n) for n=1..78.

FORMULA

G.f.: A(x)^m=Sum_{n>=m} T(n,m)x^n, A(x)=Sum_{n>0} a(n)*x^(2*n-1), a(n) - is A000621.

EXAMPLE

1;

0, 1;

1, 0, 1;

0, 2, 0, 1;

1, 0, 3, 0, 1;

0, 3, 0, 4, 0, 1;

2, 0, 6, 0, 5, 0, 1;

MAPLE

A253190 := proc(n, m)

    option remember;

    if n = m then

        1;

    elif type(n-m, 'odd') then

        0 ;

    else

        add(binomial(m+k-1, k)*procname((n-m)/2, k), k=1..(n-m)/2) ;

    end if;

end proc: # R. J. Mathar, Dec 16 2015

PROG

(Maxima)

T(n, m):=if n=m then 1 else sum(binomial(m+k-1, k)*T((n-m)/2, k), k, 1, (n-m)/2);

CROSSREFS

Cf. A000621 (row sums), A003600, A253184, A253189.

Sequence in context: A191238 A049310 A168561 * A293307 A293293 A228783

Adjacent sequences:  A253187 A253188 A253189 * A253191 A253192 A253193

KEYWORD

nonn,tabl

AUTHOR

Vladimir Kruchinin, Mar 24 2015

STATUS

approved

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Last modified November 13 04:20 EST 2019. Contains 329085 sequences. (Running on oeis4.)