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 A323178 a(n) = 1 + 100*n^2 for n >= 0. 0
 1, 101, 401, 901, 1601, 2501, 3601, 4901, 6401, 8101, 10001, 12101, 14401, 16901, 19601, 22501, 25601, 28901, 32401, 36101, 40001, 44101, 48401, 52901, 57601, 62501, 67601, 72901, 78401, 84101, 90001, 96101, 102401, 108901 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Terms of A261327 ending in 1 (01 for n > 0.) a(n) mod 9 = period 9: repeat [1, 2, 5, 1, 8, 8, 1, 5, 2] = A275704(n+3). (Analogous sequence: b(n) = 29 + 100*n*(n+1) = A261327(A017329) = 29, 229, 629, ... .) LINKS FORMULA a(n) = A261327(A008602(n)). Recurrence: a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2 with initial values a(0) = 1, a(1) = 101 and a(2) = 401. From Stefano Spezia, Jan 06 2019: (Start) O.g.f.: (-1 - 98*x - 101*x^2)/(-1 + x)^3. E.g.f.: exp(x)*(1 + 100*x + 100*x^2). (End) MATHEMATICA a[n_] := 1 + 100*n^2 ; Array[a, 50, 0] (* or *) CoefficientList[Series[(-1 - 98 x - 101 x^2)/(-1 + x)^3, {x, 0, 50}], x] (* or *) CoefficientList[Series[E^x (1 + 100 x + 100 x^2), {x, 0, 50}], x]*Table[n!, {n, 0, 50}] (* Stefano Spezia, Jan 06 2019 *) CROSSREFS Cf. A000290, A008602 (20*n), A261327, A275704. Subsequence of A017281. Sequence in context: A158192 A327347 A062800 * A031698 A055438 A142692 Adjacent sequences:  A323175 A323176 A323177 * A323179 A323180 A323181 KEYWORD nonn AUTHOR Paul Curtz, Jan 06 2019 EXTENSIONS Corrected and extended (recurrence formula) by Werner Schulte, Feb 18 2019 STATUS approved

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Last modified October 15 07:55 EDT 2019. Contains 328026 sequences. (Running on oeis4.)