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A069475 First differences of A069474, successive differences of (n+1)^6-n^6. 3

%I #12 Jun 17 2017 03:47:15

%S 1560,3360,5880,9120,13080,17760,23160,29280,36120,43680,51960,60960,

%T 70680,81120,92280,104160,116760,130080,144120,158880,174360,190560,

%U 207480,225120,243480,262560,282360,302880,324120,346080,368760,392160,416280

%N First differences of A069474, successive differences of (n+1)^6-n^6.

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F a(n) = 360*n^2 + 1440*n + 1560 = 120*A056107(n+2).

%F G.f.: 120*(13 - 11*x + 4*x^2))/(1 - x)^3. - _Bruno Berselli_, Feb 25 2015

%t Table[360 n^2 + 1440 n + 1560, {n, 0, 40}] (* _Bruno Berselli_, Feb 25 2015 *)

%o (PARI) a(n)=360*n^2+1440*n+1560 \\ _Charles R Greathouse IV_, Jun 17 2017

%Y Cf. A001014, A022522, A056107, A069473, A069474, A069476.

%K nonn,easy

%O 0,1

%A Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Mar 26 2002

%E Offset changed from 1 to 0 and added a(0)=1560 by _Bruno Berselli_, Feb 25 2015

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Last modified April 24 02:28 EDT 2024. Contains 371917 sequences. (Running on oeis4.)