A385843
a(n) = 1 + Sum_{k=0..n-1} k^5 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 66, 16105, 16507753, 51603272051, 401318681776723, 6745364508844808841, 221038850400001766938953, 13052344129663319516736911260, 1305247465753403752473945799113276, 210212714880649951675343095297590137757, 52307860484508916277278208388919504757392477
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, j^5*v[j+1]*v[i-j])); v;
A385874
a(n) = 1 + Sum_{k=0..n-1} binomial(k+1,2) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 8, 57, 639, 10357, 229588, 6686619, 248013315, 11425386222, 640413284553, 42933889931191, 3393203732253145, 312268381507616935, 33107736233111305459, 4006699123399932333697, 548987463226205098599755, 84552444466155546810368421, 14544161652321384236939516147
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, binomial(j+1, 2)*v[j+1]*v[i-j])); v;
A385841
a(n) = 1 + Sum_{k=0..n-1} k^3 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 18, 505, 32857, 4141211, 898723027, 309170208201, 158606268801081, 115783226426053396, 115899337245305115516, 154378153899481307826141, 266920063540268509322880013, 586690612016923635703423527652, 1610466268575965949949881680290412
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, j^3*v[j+1]*v[i-j])); v;
A385842
a(n) = 1 + Sum_{k=0..n-1} k^4 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 34, 2789, 716837, 448746495, 582025808335, 1398026940957747, 5727717572863611987, 37585285548218779674700, 375890452313654055440508988, 5503788078310849677217561978523, 114132054134076966886682122559148347, 3259839741208602005078393364829175139526
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, j^4*v[j+1]*v[i-j])); v;
Showing 1-4 of 4 results.