A127228
a(n) = numerator of ((n + 4)! - (n - 4)!)/(n!).
Original entry on oeis.org
40319, 362879, 1814399, 6652799, 19958399, 51891839, 121080959, 259459199, 518918399, 980179199, 1764322559, 3047466239, 5079110399, 8204716799, 12893126399, 19769460479, 29654190719, 43609103999, 62990927999
Offset: 4
-
f::= n -> (n+4)*(n+3)*(n+2)*(n+1)*n*(n-1)*(n-2)*(n-3)-1:
map(f, [$4..30]); # Robert Israel, Nov 20 2023
-
Table[Numerator[((n + 4)! - (n - 4)!)/(n!)], {n, 4, 30}]
A127229
a(n)= numerator of ((n + 5)! - (n - 5)!)/(n!).
Original entry on oeis.org
3628799, 39916799, 239500799, 1037836799, 3632428799, 10897286399, 29059430399, 70572902399, 158789030399, 335221286399, 670442572799, 1279935820799, 2346549004799, 4151586700799, 7117005772799, 11861676287999, 19275223967999, 30613591007999, 47621141567999
Offset: 5
A127227
a(n)= numerator of ((n + 3)! - (n - 3)!)/(n!).
Original entry on oeis.org
719, 5039, 20159, 60479, 151199, 332639, 665279, 1235519, 2162159, 3603599, 5765759, 8910719, 13366079, 19535039, 27907199, 39070079, 53721359, 72681839, 96909119, 127511999, 165765599, 213127199, 271252799, 342014399, 427517999
Offset: 3
A127231
a(n) = (2n)! + 1.
Original entry on oeis.org
2, 3, 25, 721, 40321, 3628801, 479001601, 87178291201, 20922789888001, 6402373705728001, 2432902008176640001, 1124000727777607680001, 620448401733239439360001, 403291461126605635584000001, 304888344611713860501504000001, 265252859812191058636308480000001
Offset: 0
A013325
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arctanh(x))= x-x^2/6-x^3/72 -359*x^4/2160 -1681*x^5/51840 -52981*x^6/435456 -...
Original entry on oeis.org
1, -1, -1, -359, -1681, -52981, -1887113, -27492467, -3259141, -1194145112779, -55919619312049, -7462251938940527, -113201511292945547, -1055956853774285077, -44032898634010565651, -75833822693358307239889
Offset: 1
Patrick Demichel (patrick.demichel(AT)hp.com)
Showing 1-5 of 5 results.
Comments