This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A351628 #15 Jun 09 2022 11:34:27 %S A351628 1,2,5,9,13,17,24,31,38,45,56,67,78,89,100,111,122,140,158,176,194, %T A351628 212,230,248,266,284,302,320,349,378,407,436,465,494,523,552,581,610, %U A351628 639,668,697,726,755,784,813,842,889,936,983,1030,1077,1124,1171,1218 %N A351628 Partial sums of A352717. %t A351628 Accumulate[Flatten[Map[ConstantArray[LucasL[#],LucasL[#-1]]&,Range[15]]]] (* _Peter J. C. Moses_, May 02 2022 *) %o A351628 (Python) %o A351628 from itertools import islice %o A351628 def A351628_gen(): # generator of terms %o A351628 a, b, c = 1, 3, 0 %o A351628 while True: %o A351628 yield from (c+i*a for i in range(1,b-a+1)) %o A351628 a, b, c = b, a+b, c + a*(b-a) %o A351628 A351628_list = list(islice(A351628_gen(),40)) # _Chai Wah Wu_, Jun 09 2022 %Y A351628 Cf. A087172, A130473, A353717. %K A351628 nonn %O A351628 1,2 %A A351628 _Clark Kimberling_, May 04 2022