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A075415 Squares of A002280. 22
0, 36, 4356, 443556, 44435556, 4444355556, 444443555556, 44444435555556, 4444444355555556, 444444443555555556, 44444444435555555556, 4444444444355555555556, 444444444443555555555556 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A transformation of the Wonderful Demlo numbers (A002477).

LINKS

Table of n, a(n) for n=0..12.

G. Villemin, Variations sur les carres

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

FORMULA

a(n) = A002280(n)^2 = (6 * A002275(n))^2 = 36 * (A002275(n))^2.

Contribution from Reinhard Zumkeller, May 31 2010: (Start)

a(n) = ((A002278(n-1)*10+3)*10^(n-1)+A002279(n-1))*10+6 for n>0.

a(n) = A002283(n)*A002278(n). (End)

G.f.: 36*x*(1 + 10*x)/((1 - x)*(1 - 10*x)*(1 - 100*x)). [Arkadiusz Wesolowski, Dec 26 2011]

EXAMPLE

a(2) = 66^2 = 4356.

Contribution from Reinhard Zumkeller, May 31 2010: (Start)

n=1: ..................... 36 = 9 * 4;

n=2: ................... 4356 = 99 * 44;

n=3: ................. 443556 = 999 * 444;

n=4: ............... 44435556 = 9999 * 4444;

n=5: ............. 4444355556 = 99999 * 44444;

n=6: ........... 444443555556 = 999999 * 444444;

n=7: ......... 44444435555556 = 9999999 * 4444444;

n=8: ....... 4444444355555556 = 99999999 * 44444444;

n=9: ..... 444444443555555556 = 999999999 * 444444444. (End)

CROSSREFS

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

Cf. A178630, A178631, A178632, A178633, A178634, A178635, A059988. [From Reinhard Zumkeller, May 31 2010]

Sequence in context: A163034 A184270 A187405 * A102794 A127856 A127860

Adjacent sequences:  A075412 A075413 A075414 * A075416 A075417 A075418

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified February 24 21:30 EST 2018. Contains 299628 sequences. (Running on oeis4.)