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A017114 a(n) = (8*n + 4)^2. 2
16, 144, 400, 784, 1296, 1936, 2704, 3600, 4624, 5776, 7056, 8464, 10000, 11664, 13456, 15376, 17424, 19600, 21904, 24336, 26896, 29584, 32400, 35344, 38416, 41616, 44944, 48400, 51984, 55696 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) = 16*A016754; a(n+2) = A061042(2n+1), from Brackett spectrum of hydrogen. - Paul Curtz, Nov 07 2008

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3, -3, 1).

FORMULA

G.f.: -16*(1 + 6*x + x^2)/(x-1)^3. - R. J. Mathar, Jul 14 2016

MATHEMATICA

LinearRecurrence[{3, -3, 1}, {16, 144, 400}, 30] (* Ray Chandler, Aug 04 2015 *)

PROG

(MAGMA) [(8*n+4)^2: n in [0..35] ]; // Vincenzo Librandi, Jul 21 2011

(PARI) a(n)=(8*n+4)^2 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Sequence in context: A213349 A032444 A328224 * A092820 A060300 A128985

Adjacent sequences:  A017111 A017112 A017113 * A017115 A017116 A017117

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)