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A258807 a(n) = n^5 - 1. 7
0, 31, 242, 1023, 3124, 7775, 16806, 32767, 59048, 99999, 161050, 248831, 371292, 537823, 759374, 1048575, 1419856, 1889567, 2476098, 3199999, 4084100, 5153631, 6436342, 7962623, 9765624, 11881375, 14348906, 17210367, 20511148, 24299999, 28629150, 33554431 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..5000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

G.f.: x^2*(31 + 56*x + 36*x^2 - 4*x^3 + x^4)/(1 - x)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).

a(n) = -A024003(n). [Bruno Berselli, Jun 11 2015]

MAPLE

seq(n^5-1, n=1..35); # Muniru A Asiru, Oct 28 2018

MATHEMATICA

Table[n^5 - 1, {n, 1, 50}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 31, 242, 1023, 3124, 7775}, 50]

PROG

(MAGMA) [n^5-1: n in [1..50]]; /* or */ I:=[0, 31, 242, 1023, 3124, 7775]; [n le 6 select I[n] else 6*Self(n-1)-15*Self(n-2)+20*Self(n-3)-15*Self(n-4)+ 6*Self(n-5)-Self(n-6): n in [1..50]];

(Sage) [n^5-1 for n in (1..50)] # Bruno Berselli, Jun 11 2015

(PARI) a(n)=n^5-1 \\ Charles R Greathouse IV, Jun 11 2015

(GAP) List([1..35], n->n^5-1); # Muniru A Asiru, Oct 28 2018

(Python) for n in range(1, 50): print(n**5 - 1, end=', ') # Stefano Spezia, Oct 28 2018

CROSSREFS

Subsequence of A181124.

Cf. A024003, A024049, A300656.

Sequences of the type n^k-1: A132411 (k=2), A068601 (k=3), A123865 (k=4), this sequence (k=5), A123866 (k=6), A258808 (k=7), A258809 (k=8), A258810 (k=9), A123867 (k=10), A258812 (k=11), A123868 (k=12).

Sequence in context: A189923 A059378 A024003 * A221848 A284926 A321544

Adjacent sequences:  A258804 A258805 A258806 * A258808 A258809 A258810

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jun 11 2015

STATUS

approved

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Last modified April 3 15:45 EDT 2020. Contains 333197 sequences. (Running on oeis4.)