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 A174929 Partial sums of A174928. 1
 1, 66, 132, 262, 393, 588, 784, 1044, 1305, 1630, 1956, 2346, 2737, 3192, 3648, 4168, 4689, 5274, 5860, 6510, 7161, 7876, 8592, 9372, 10153, 10998, 11844, 12754, 13665, 14640, 15616, 16656, 17697, 18802, 19908, 21078, 22249, 23484, 24720, 26020 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..39. Index entries for linear recurrences with constant coefficients, signature (2, 0, -2, 1). FORMULA a(n) = (71+264*n+130*n^2-63*(-1)^n)/8. a(n) = a(n-1)+a(n-2)-a(n-3)+65 for n > 2; a(0) = 1, a(1) = 66, a(2) = 132. G.f.: (1+64*x)/((1-x)^3*(1+x)). MATHEMATICA LinearRecurrence[{2, 0, -2, 1}, {1, 66, 132, 262}, 60] (* Harvey P. Dale, Jul 12 2021 *) PROG (Magma) T:=&cat[ [1, 64]: n in [0..19] ]; U:=[ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T] ]; [ n eq 1 select U[1] else Self(n-1)+U[n]: n in [1..#U] ]; [ n eq 1 select 1 else n le 3 select 66*(n-1) else Self(n-1)+Self(n-2)-Self(n-3)+65: n in [1..40] ]; CROSSREFS Cf. A174928 (partial sums of A174927), A174927 (repeat 1, 64). Sequence in context: A160848 A160278 A206030 * A072430 A278126 A044317 Adjacent sequences: A174926 A174927 A174928 * A174930 A174931 A174932 KEYWORD nonn AUTHOR Klaus Brockhaus, Apr 02 2010 STATUS approved

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Last modified February 22 06:21 EST 2024. Contains 370240 sequences. (Running on oeis4.)