A362272 Contribution to the OEIS

 

A362272 a(1) = 1, then multiply, subtract, and add 2, 3, 4; 5, 6, 7; ... in that order. 6

1, 2, -1, 3, 15, 9, 16, 128, 119, 129, 1419, 1407, 1420, 19880, 19865, 19881, 337977, 337959, 337978, 6759560, 6759539, 6759561, 155469903, 155469879, 155469904, 4042217504, 4042217477, 4042217505, 117224307645, 117224307615, 117224307646, 3751177844672, 3751177844639 (list; graph; refs; listen; history; edit; text; internal format)

OFFSET 1,2 LINKS Table of n, a(n) for n=1..33. FORMULA a(1)=1; for n > 1, a(n) = a(n-1) * n if n mod 3 = 2, a(n-1) - n if n mod 3 = 0, a(n-1) + n if n mod 3 = 1. EXAMPLE a(2) = 1 * 2 = 2; a(3) = 2 - 3 = -1; a(4) = -1 + 4 = 3. MATHEMATICA FoldList[If[Mod[#2, 3]==2, #1*#2, If[Mod[#2, 3]==0, #1-#2, #1+#2]]&, 1, Range[2, 33]] (* James C. McMahon, Oct 09 2023 *) PROG (Python) from itertools import count, islice def A362272_gen(): # generator of terms yield (a:=1) for n in count(2, 3): yield (a:=a*n) yield (a:=a-n-1) yield (a:=a+n+2) A362272_list = list(islice(A362272_gen(), 20)) # Chai Wah Wu, Apr 19 2023 CROSSREFS Other operation orders: A077382, A077383, A362269, A362270, A362271. Sequence in context: A366591 A007447 A153189 * A095852 A283748 A209365 Adjacent sequences: A362269 A362270 A362271 * A362273 A362274 A362275 KEYWORD sign AUTHOR James C. McMahon, Apr 19 2023 STATUS approved