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A075413 Squares of A002278. 9
0, 16, 1936, 197136, 19749136, 1975269136, 197530469136, 19753082469136, 1975308602469136, 197530863802469136, 19753086415802469136, 1975308641935802469136, 197530864197135802469136 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A transformation of the Wonderful Demlo numbers (A002477).

LINKS

Colin Barker, Table of n, a(n) for n = 0..100

G. Villemin, Variations sur les carrés

Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).

FORMULA

a(n) = A002278(n)^2 = (4 * A002275(n) )^2 = 16 * (A002275(n) )^2.

From Colin Barker, Jul 17 2019: (Start)

G.f.: 16*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)).

a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n>2.

a(n) = 16*(10^n-1)^2/81.

(End)

EXAMPLE

a(2) = 44^2 = 1936.

PROG

(PARI) concat(0, Vec(16*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)) + O(x^20))) \\ Colin Barker, Jul 17 2019

CROSSREFS

Cf. A075411, A075412, A075413, A075414, A075415, A075416, A075417, A002283.

Sequence in context: A264199 A160306 A167000 * A265213 A176886 A159389

Adjacent sequences:  A075410 A075411 A075412 * A075414 A075415 A075416

KEYWORD

easy,nonn

AUTHOR

Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002

STATUS

approved

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Last modified June 22 19:28 EDT 2021. Contains 345388 sequences. (Running on oeis4.)