A383231
Expansion of e.g.f. f(x) * log(f(x)), where f(x) = 1/(1 - 5*x)^(1/5).
Original entry on oeis.org
0, 1, 7, 83, 1394, 30330, 810756, 25710012, 943434288, 39324264624, 1835297984160, 94813760519136, 5371462318747392, 331125138305434368, 22065681276731119104, 1580617232453691210240, 121117633854691036502016, 9885823380533972300470272, 856279708828545483688808448
Offset: 0
-
a(n) = sum(k=1, n, k*5^(n-k)*abs(stirling(n, k, 1)));
A383232
Expansion of e.g.f. f(x)^2 * log(f(x)), where f(x) = 1/(1 - 5*x)^(1/5).
Original entry on oeis.org
0, 1, 9, 122, 2242, 52180, 1471692, 48790608, 1859539344, 80109265824, 3849497255520, 204138860091264, 11842095171021696, 745962168915065088, 50708105952635996928, 3699802551156676392960, 288399758863879774476288, 23919432333548949807869952, 2103184085769044913951461376
Offset: 0
-
a(n) = sum(k=1, n, k*2^(k-1)*5^(n-k)*abs(stirling(n, k, 1)));
A383234
Expansion of e.g.f. f(x)^4 * log(f(x)), where f(x) = 1/(1 - 5*x)^(1/5).
Original entry on oeis.org
0, 1, 13, 218, 4646, 121080, 3741144, 133863792, 5447294352, 248518603584, 12566268267840, 697632464382336, 42189230206182528, 2760816706845539328, 194381535085933095936, 14652311175996819978240, 1177370323796943823325184, 100466288729505689717809152
Offset: 0
-
a(n) = sum(k=1, n, k*4^(k-1)*5^(n-k)*abs(stirling(n, k, 1)));
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