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 A008454 Tenth powers: a(n) = n^10. 36
 0, 1, 1024, 59049, 1048576, 9765625, 60466176, 282475249, 1073741824, 3486784401, 10000000000, 25937424601, 61917364224, 137858491849, 289254654976, 576650390625, 1099511627776, 2015993900449, 3570467226624, 6131066257801, 10240000000000, 16679880978201, 26559922791424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Totally multiplicative sequence with a(p) = p^10 for prime p. [Jaroslav Krizek, Nov 01 2009] Fifth powers of the squares and the squares of fifth powers. - Wesley Ivan Hurt, Apr 01 2016 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1). FORMULA Multiplicative with a(p^e) = p^(10e). - David W. Wilson, Aug 01 2001 Totally multiplicative sequence with a(p) = p^10 for primes p. [Jaroslav Krizek, Nov 01 2009] From Robert Israel, Mar 31 2016: (Start) G.f.: x*(x+1)*(x^8+1012*x^7+46828*x^6+408364*x^5+901990*x^4 +408364*x^3+46828*x^2+1012*x+1)/(1-x)^11. E.g.f.: x*exp(x)*(x^9+45*x^8+750*x^7+5880*x^6+22827*x^5+42525*x^4+34105*x^3+9330*x^2+511*x+1). (End) From Amiram Eldar, Oct 08 2020: (Start) Sum_{n>=1} 1/a(n) = zeta(10) = Pi^10/93555 (A013668). Sum_{n>=1} (-1)^(n+1)/a(n) = 511*zeta(10)/512 = 73*Pi^10/6842880. (End) MAPLE A008454:=n->n^10; seq(A008454(n), n=0..20); # Wesley Ivan Hurt, Jan 22 2014 MATHEMATICA Table[n^10, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2010 *) PROG (Magma) [n^10: n in [0..20]]; // Vincenzo Librandi, Jun 20 2011 CROSSREFS a(n) = A123867(n) + 1. Cf. A000290 (n^2), A000584 (n^5), A013668. Sequence in context: A195250 A016901 A017684 * A352056 A351608 A030629 Adjacent sequences: A008451 A008452 A008453 * A008455 A008456 A008457 KEYWORD nonn,easy,mult AUTHOR STATUS approved

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Last modified February 1 10:32 EST 2023. Contains 359993 sequences. (Running on oeis4.)