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A017438
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a(n) = (11*n + 4)^2.
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12
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16, 225, 676, 1369, 2304, 3481, 4900, 6561, 8464, 10609, 12996, 15625, 18496, 21609, 24964, 28561, 32400, 36481, 40804, 45369, 50176, 55225, 60516, 66049, 71824, 77841, 84100, 90601, 97344, 104329, 111556, 119025, 126736, 134689, 142884, 151321, 160000, 168921, 178084, 187489, 197136
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.
G.f.: (49*x^2 + 177*x + 16)/(1 - x)^3. (End)
E.g.f.: (16 + 209*x + 121*x^2)*exp(x). - G. C. Greubel, Sep 18 2019
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MAPLE
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MATHEMATICA
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PROG
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(Magma) [(11*n+4)^2: n in [0..50]]; // G. C. Greubel, Sep 18 2019
(Sage) [(11*n+4)^2 for n in (0..50)] # G. C. Greubel, Sep 18 2019
(GAP) List([0..50], n-> (11*n+4)^2); # G. C. Greubel, Sep 18 2019
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CROSSREFS
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Powers of the form (11*n+4)^m: A017437 (m=1), this sequence (m=2), A017439 (m=3), A017440 (m=4), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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