login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A024151
a(n) = 12^n - n^11.
1
1, 11, -1904, -175419, -4173568, -48579293, -359811072, -1941494935, -8159952896, -26221279257, -38082635776, 457696700077, 8173092077568, 105201044985035, 1279868899379200, 15398371818726993, 184866666708992000
OFFSET
0,2
LINKS
FORMULA
From Chai Wah Wu, Jan 26 2020: (Start)
a(n) = 24*a(n-1) - 210*a(n-2) + 1012*a(n-3) - 3135*a(n-4) + 6732*a(n-5) - 10428*a(n-6) + 11880*a(n-7) - 9999*a(n-8) + 6160*a(n-9) - 2706*a(n-10) + 804*a(n-11) - 145*a(n-12) + 12*a(n-13) for n > 12.
G.f.: (-13*x^12 - 24419*x^11 - 1829674*x^10 - 26288999*x^9 - 114654375*x^8 - 178952070*x^7 - 101134044*x^6 - 16702950*x^5 + 371349*x^4 + 128425*x^3 + 1958*x^2 + 13*x - 1)/((x - 1)^12*(12*x - 1)). (End)
PROG
(Magma) [12^n-n^11: n in [0..20]]; // Vincenzo Librandi, Jul 02 2011
CROSSREFS
Sequence in context: A222874 A028453 A373883 * A114354 A167249 A180587
KEYWORD
sign,easy
STATUS
approved