A075416 Squares of A002281.

0, 49, 5929, 603729, 60481729, 6049261729, 604937061729, 60493815061729, 6049382595061729, 604938270395061729, 60493827148395061729, 6049382715928395061729, 604938271603728395061729

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) = A002281(n)^2 = (7 * A002275(n) )^2 = 49 * (A002275(n) )^2.

From Colin Barker, Jul 17 2019: (Start)

G.f.: 49*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) = 49*(10^n-1)^2/81.

(End)

Example

a(2) = 77^2 = 5929.

Prog

(PARI) concat(0, Vec(49*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: A243944 A144928 A053772 * A127861 A130416 A006692

Adjacent sequences: A075413 A075414 A075415 * A075417 A075418 A075419

Keyword

easy,nonn

Author

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

Status

approved