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A176916 5^n + 5n + 1. 3
2, 11, 36, 141, 646, 3151, 15656, 78161, 390666, 1953171, 9765676, 48828181, 244140686, 1220703191, 6103515696, 30517578201, 152587890706, 762939453211, 3814697265716, 19073486328221, 95367431640726, 476837158203231 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This is to 5 as A176805 is to 3 and as A176691 is to 2. This is the 5th row of the array A[k,n] = k^n + k*n + 1. The subsequence of primes begins: 11, 48828181, a(25) = 298023223876953251, a(35) = 2910383045673370361328301, a(85) = 258493941422821148397315216271863391739316284656524658203551, no more through a(100).

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (7,-11,5). [From R. J. Mathar, Apr 29 2010]

FORMULA

a(n) = 5^n + 5*n + 1 = A000351(n) + A008587(n) + 1 = A000351(n) + A016861(n).

a(n)= +7*a(n-1) -11*a(n-2) +5*a(n-3). G.f.: ( -2+3*x+19*x^2 ) / ( (5*x-1)*(x-1)^2 ). [From R. J. Mathar, Apr 29 2010]

EXAMPLE

a(3) = 5^3 + 5*3 + 1 = 141.

CROSSREFS

Cf. A000351, A008587, A016861, A176691, A176805.

Sequence in context: A238706 A071244 A005583 * A015519 A096977 A084098

Adjacent sequences:  A176913 A176914 A176915 * A176917 A176918 A176919

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Apr 28 2010

EXTENSIONS

First term corrected by several authors, Apr 29 2010

STATUS

approved

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Last modified November 17 04:01 EST 2018. Contains 317275 sequences. (Running on oeis4.)