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 A074608 a(n) = 3^n + 7^n. 5
 2, 10, 58, 370, 2482, 17050, 118378, 825730, 5771362, 40373290, 282534298, 1977503890, 13841818642, 96890604730, 678227855818, 4747575858850, 33232973616322, 232630643127370, 1628413985330938, 11398896347634610 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel and Jon E. Schoenfield, Table of n, a(n) for n = 0..1000 (terms 0..160 from G. C. Greubel). Index entries for linear recurrences with constant coefficients, signature (10,-21). FORMULA From Mohammad K. Azarian, Jan 11 2009: (Start) G.f.: 1/(1-3*x) + 1/(1-7*x). E.g.f.: exp(3*x) + exp(7*x). (End) a(n) = 10*a(n-1)-21*a(n-2) with a(0)=2, a(1)=10. - Vincenzo Librandi, Jul 21 2010 a(n) = 2 * A081336(n). - Michel Marcus, Oct 07 2015 MATHEMATICA Table[3^n + 7^n, {n, 0, 25}] RecurrenceTable[{a[0]== 2, a[1]== 10, a[n]== 10*a[n-1]  - 21*a[n-2]}, a, {n, 30}] (* G. C. Greubel, Aug 20 2015 *) PROG (PARI) first(m)=vector(m, i, i--; 3^i + 7^i) \\ Anders HellstrÃ¶m, Aug 20 2015 (PARI) Vec(1/(1-3*x) + 1/(1-7*x) + O(x^50)) \\ Altug Alkan, Oct 12 2015 CROSSREFS Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624. Cf. A081336. Sequence in context: A248403 A278095 A075870 * A086871 A108450 A293111 Adjacent sequences:  A074605 A074606 A074607 * A074609 A074610 A074611 KEYWORD easy,nonn AUTHOR Robert G. Wilson v, Aug 25 2002 STATUS approved

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Last modified April 20 22:22 EDT 2019. Contains 322310 sequences. (Running on oeis4.)