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Search: a007339 -id:a007339
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n! - n^4
+10
6
1, 0, -14, -75, -232, -505, -576, 2639, 36224, 356319, 3618800, 39902159, 478980864, 6226992239, 87178252784, 1307674317375, 20922789822464, 355687428012479, 6402373705623024, 121645100408701679, 2432902008176480000
OFFSET
0,3
LINKS
PROG
(Magma) [Factorial(n)-n^4: n in [0..20]]
(PARI) a(n)=n!-n^4 \\ Charles R Greathouse IV, Nov 21 2011
CROSSREFS
KEYWORD
sign,easy,less
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved
a(n) = n! - n^5.
+10
5
1, 0, -30, -237, -1000, -3005, -7056, -11767, 7552, 303831, 3528800, 39755749, 478752768, 6226649507, 87177753376, 1307673608625, 20922788839424, 355687426676143, 6402373703838432, 121645100406355901, 2432902008173440000
OFFSET
0,3
LINKS
MATHEMATICA
Table[n!-n^5, {n, 0, 20}] (* Harvey P. Dale, Nov 03 2015 *)
PROG
(Magma) [Factorial(n)-n^5: n in [0..20]]
(PARI) a(n)=n!-n^5 \\ Charles R Greathouse IV, Nov 21 2011
CROSSREFS
KEYWORD
sign,easy,less
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved
n! - n^6.
+10
4
1, 0, -62, -723, -4072, -15505, -45936, -112609, -221824, -168561, 2628800, 38145239, 476015616, 6222193991, 87170761664, 1307662977375, 20922773110784, 355687403958431, 6402373671715776, 121645100361786119, 2432902008112640000
OFFSET
0,3
LINKS
MATHEMATICA
Table[n!-n^6, {n, 0, 20}] (* Harvey P. Dale, Dec 09 2011 *)
PROG
(Magma) [Factorial(n)-n^6: n in [0..20]]
(PARI) a(n)=n!-n^6 \\ Charles R Greathouse IV, Nov 21 2011
KEYWORD
sign,easy,less
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved
n! - n^7.
+10
3
1, 0, -126, -2181, -16360, -78005, -279216, -818503, -2056832, -4420089, -6371200, 20429629, 443169792, 6164272283, 87072877696, 1307503508625, 20922521452544, 355687017757327, 6402373093507968, 121645099514960261, 2432902006896640000
OFFSET
0,3
LINKS
PROG
(Magma) [Factorial(n)-n^7: n in [0..20]]
(PARI) a(n)=n!-n^7 \\ Charles R Greathouse IV, Nov 21 2011
KEYWORD
sign,less,easy
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved
n! - n^8
+10
2
1, 0, -254, -6555, -65512, -390505, -1678896, -5759761, -16736896, -42683841, -96371200, -174442081, 49019904, 5411290079, 85702502144, 1305111477375, 20918494920704, 355680452338559, 6402362685767424, 121645083425268959, 2432901982576640000
OFFSET
0,3
LINKS
PROG
(Magma) [Factorial(n)-n^8: n in [0..20]]
(PARI) a(n)=n!-n^8 \\ Charles R Greathouse IV, Dec 27 2011
KEYWORD
sign,easy
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved
n! - n^10
+10
1
1, 0, -1022, -59043, -1048552, -9765505, -60465456, -282470209, -1073701504, -3486421521, -9996371200, -25897507801, -61438362624, -131631471049, -202076363776, 731023977375, 19823278260224, 353671434195551, 6398803238501376, 121638969342574199, 2432891768176640000
OFFSET
0,3
LINKS
MATHEMATICA
Table[n!-n^10, {n, 0, 20}] Harvey P. Dale, May 19 2012
PROG
(Magma) [Factorial(n)-n^10: n in [0..20]]
KEYWORD
sign
AUTHOR
Vincenzo Librandi, Oct 06 2011
STATUS
approved

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