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A016862
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a(n) = (5*n + 1)^2.
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14
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1, 36, 121, 256, 441, 676, 961, 1296, 1681, 2116, 2601, 3136, 3721, 4356, 5041, 5776, 6561, 7396, 8281, 9216, 10201, 11236, 12321, 13456, 14641, 15876, 17161, 18496, 19881, 21316, 22801, 24336, 25921
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OFFSET
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0,2
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LINKS
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FORMULA
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Sum_{n>=0} 1/a(n) = polygamma(1, 1/5)/25 = 1.050695088216... - Amiram Eldar, Oct 02 2020
E.g.f.: (1 + 35*x + 25*x^2)*exp(x). (End)
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MATHEMATICA
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(5*Range[0, 40]+1)^2 (* or *) LinearRecurrence[{3, -3, 1}, {1, 36, 121}, 40] (* Harvey P. Dale, Jul 11 2012 *)
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PROG
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(SageMath) [(5*n+1)^2 for n in range(41)] # G. C. Greubel, Dec 28 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), this sequence (m=5), A016922 (m=6), A016994 (m=7), A017078 (m=8), A017174 (m=9), A017282 (m=10), A017402 (m=11), A017534 (m=12), A134934 (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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