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A062394 a(n) = 6^n + 1. 43
2, 7, 37, 217, 1297, 7777, 46657, 279937, 1679617, 10077697, 60466177, 362797057, 2176782337, 13060694017, 78364164097, 470184984577, 2821109907457, 16926659444737, 101559956668417, 609359740010497, 3656158440062977 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..150

Amelia Carolina Sparavigna, Some Groupoids and their Representations by Means of Integer Sequences, International Journal of Sciences (2019) Vol. 8, No. 10.

Index entries for linear recurrences with constant coefficients, signature (7,-6).

FORMULA

a(n) = 6*a(n-1)-5 = A000400(n)+1 = 7*a(n-1) - 6*a(n-2).

G.f.: 1/(1-x)+1/(1-6*x). E.g.f.: e^x+e^(6*x). [Mohammad K. Azarian, Jan 02 2009]

MATHEMATICA

Table[6^n + 1, {n, 0, 20}]

6^Range[0, 20]+1 (* or *) LinearRecurrence[{7, -6}, {2, 7}, 30] (* Harvey P. Dale, Aug 11 2015 *)

PROG

(MAGMA) [6^n + 1: n in [0..30] ]; // Vincenzo Librandi, Apr 30 2011

(PARI) vector(20, n, n--; 6^n + 1) \\ Michel Marcus, Jun 11 2015

CROSSREFS

Cf. A054977, A007395, A000051, A034472, A052539, A034474, A034491, A062395, A062396, A062397, A007689, A063376, A063481, A074600 - A074624, A034524, A178248, A228081 for numbers one more than powers.

Sequence in context: A216362 A047066 A002787 * A245902 A063766 A020040

Adjacent sequences:  A062391 A062392 A062393 * A062395 A062396 A062397

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Jun 22 2001

STATUS

approved

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Last modified October 23 19:53 EDT 2020. Contains 337975 sequences. (Running on oeis4.)