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%I #17 Sep 08 2022 08:45:03
%S 762,4356,16738,50064,126114,280372,566826,1063488,1878634,3157764,
%T 5091282,7922896,11958738,17577204,25239514,35500992,49023066,
%U 66585988,89102274,117630864,153392002,197782836,252393738,319025344,399706314
%N Numbers of the form k^3 + (k + 1)^4 + (k + 2)^5 + (k + 3)^6.
%H Vincenzo Librandi, <a href="/A061225/b061225.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: 2*(381 - 489*x + 1124*x^2 - 1148*x^3 + 687*x^4 - 227*x^5 + 32*x^6)/(1-x)^7. - _Colin Barker_, Apr 02 2012
%e a(1) = 1 + 2^4 + 3^5 + 4^6 = 1 + 16 + 243 + 4096 = 4356.
%t Table[n^3+(n+1)^4+(n+2)^5+(n+3)^6,{n,0,30}] (* _Harvey P. Dale_, Mar 26 2011 *)
%o (Magma) [ n^3 + (n + 1)^4 + (n + 2)^5 + (n + 3)^6: n in [0..30]]; // _Vincenzo Librandi_, Aug 05 2011
%Y Cf. A027621.
%K easy,nonn
%O 0,1
%A _Olivier Gérard_, May 31 2001
%E Offset changed from 1 to 0 by _Vincenzo Librandi_, Aug 05 2011