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0, 36, 4356, 443556, 44435556, 4444355556, 444443555556, 44444435555556, 4444444355555556, 444444443555555556, 44444444435555555556, 4444444444355555555556, 444444444443555555555556
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A transformation of the Wonderful Demlo numbers (A002477).
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LINKS
| G. Villemin, Variations sur les carres
Index to sequences with linear recurrences with constant coefficients, signature (111,-1110,1000).
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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]
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EXAMPLE
| a(2) = 66^2 = 4356.
Contribution from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 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)
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CROSSREFS
| Cf. A075411, A075412, A075413, A075414, A075415, A075416, A075417, A002283.
Cf. A178630, A178631, A178632, A178633, A178634, A178635, A059988. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 31 2010]
Sequence in context: A163034 A184270 A187405 * A102794 A127856 A127860
Adjacent sequences: A075412 A075413 A075414 * A075416 A075417 A075418
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KEYWORD
| nonn,easy
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AUTHOR
| Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002
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