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A134934
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a(n) = (14*n+1)^2.
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10
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1, 225, 841, 1849, 3249, 5041, 7225, 9801, 12769, 16129, 19881, 24025, 28561, 33489, 38809, 44521, 50625, 57121, 64009, 71289, 78961, 87025, 95481, 104329, 113569, 123201, 133225, 143641, 154449, 165649, 177241, 189225, 201601, 214369, 227529, 241081
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OFFSET
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0,2
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COMMENTS
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Number of rats in population after n years, starting with one rat at year 0 (see A016754 for more details).
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LINKS
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FORMULA
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O.g.f.: (1+222*x+169*x^2)/(1-x)^3 = 169/(1-x) - 560/(1-x)^2 + 392/(1-x)^3. - R. J. Mathar, Jan 31 2008
E.g.f.: (1 + 224*x + 196*x^2)*exp(x). - G. C. Greubel, Dec 24 2022
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MATHEMATICA
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PROG
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(SageMath) [(14*n+1)^2 for n in range(51)] # G. C. Greubel, Dec 24 2022
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CROSSREFS
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Sequences of the form (m*n+1)^2: A000012 (m=0), A000290 (m=1), A016754 (m=2), A016778 (m=3), A016814 (m=4), A016862 (m=5), A016922 (m=6), A016994 (m=7), A017078 (m=8), A017174 (m=9), A017282 (m=10), A017402 (m=11), A017534 (m=12), this sequence (m=14).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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