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 A218745 a(n) = (42^n-1)/41. 1
 0, 1, 43, 1807, 75895, 3187591, 133878823, 5622910567, 236162243815, 9918814240231, 416590198089703, 17496788319767527, 734865109430236135, 30864334596069917671, 1296302053034936542183, 54444686227467334771687 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Partial sums of powers of 42 (A009986). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..600 Index entries for linear recurrences with constant coefficients, signature (43,-42) FORMULA From Vincenzo Librandi, Nov 07 2012: (Start) G.f.: x/((1-x)*(1-42*x)). a(n) = 43*a(n-1) - 42*a(n-2). a(n) = floor(42^n/41). (End) MATHEMATICA LinearRecurrence[{43, -42}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *) PROG (PARI) A218745(n)=42^n\41 (MAGMA) [n le 2 select n-1 else 43*Self(n-1) - 42*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012 (Maxima) A218745(n):=(42^n-1)/41\$ makelist(A218745(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */ CROSSREFS Cf. similar sequences of the form (k^n-1)/(k-1): A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A091030, A135519, A135518, A131865, A091045, A218721, A218722, A064108, A218724-A218734, A132469, A218736-A218753, A133853, A094028, A218723. Sequence in context: A170676 A170724 A170762 * A262470 A009987 A267532 Adjacent sequences:  A218742 A218743 A218744 * A218746 A218747 A218748 KEYWORD nonn,easy AUTHOR M. F. Hasler, Nov 04 2012 STATUS approved

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Last modified November 15 18:10 EST 2018. Contains 317240 sequences. (Running on oeis4.)