A373869
a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling1(n,k).
Original entry on oeis.org
0, 1, 0, 2, 26, 674, 28894, 1848216, 165229560, 19698788448, 3022496261616, 580460752264656, 136441193196585408, 38540172064949405616, 12883204327833557091984, 5030833813902039858261504, 2269484487197629285690675584, 1171368942033975021150888242304
Offset: 0
-
a(n) = sum(k=1, n, k!*k^(n-3)*stirling(n, k, 1));
A373870
a(n) = Sum_{k=1..n} k! * k^(n-3) * |Stirling1(n,k)|.
Original entry on oeis.org
0, 1, 2, 14, 254, 9154, 552034, 50183832, 6417140232, 1098719459424, 242758470248976, 67260880064331216, 22840933997866565184, 9330599517868641290160, 4514326567036815466609008, 2553018492454631240215801344, 1668797317379516060093446975104
Offset: 0
-
a(n) = sum(k=1, n, k!*k^(n-3)*abs(stirling(n, k, 1)));
A373872
a(n) = Sum_{k=1..n} (-1)^(n-k) * k! * k^(n-3) * Stirling2(n,k).
Original entry on oeis.org
0, 1, 0, 1, 15, 391, 16275, 999391, 85314915, 9682617631, 1411532175075, 257220473522431, 57317980108103715, 15338554965273810271, 4855172557420679314275, 1794588990417909081447871, 766066194581899382513514915, 374061220058388896558805473311
Offset: 0
-
a(n) = sum(k=1, n, (-1)^(n-k)*k!*k^(n-3)*stirling(n, k, 2));
A373873
a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling2(n,k).
Original entry on oeis.org
0, 1, 3, 31, 765, 34651, 2502213, 263824891, 38248036725, 7298877611371, 1773652375115973, 534749297993098651, 195883403209280580885, 85687658454617655817291, 44120264185381411695106533, 26413555571018242181844978811
Offset: 0
-
Table[Sum[k! k^(n-2) StirlingS2[n,k],{k,n}],{n,0,20}] (* Harvey P. Dale, Jul 13 2025 *)
-
a(n) = sum(k=1, n, k!*k^(n-2)*stirling(n, k, 2));
Showing 1-4 of 4 results.