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A347324 Row sums in A347738 when that sequence is written as a triangle.

%I A347324 #20 Sep 19 2021 19:28:14
%S A347324 0,2,12,48,167,541,1692,5187,15700,47030,139986,415385,1230417,
%T A347324 3638657,10744058,31705658,93563017,276079102,814408697,2402076923,
%U A347324 7085491321,20902994644,61668276920,181926014930,536710980085,1583529043750,4672393755494,13786612213841
%N A347324 Row sums in A347738 when that sequence is written as a triangle.
%C A347324 Ratio of successive terms, a(n+1)/a(n), seems to be converging to ~2.9506. - _Michael S. Branicky_, Sep 19 2021
%e A347324 Row 2 is 4,  3,  2,  2,  1,  0, which has sum 12.
%t A347324 Total /@ TakeList[Import["https://oeis.org/A347738/b347738.txt", "Data"][[All, -1]], {1}~Join~Array[3*2^# &, 13, 0]] (* _Michael De Vlieger_, Sep 13 2021, generated using the b-file at A347738 *)
%o A347324 (Python)
%o A347324 def afind():
%o A347324     num, gte_inventory, rowsum, bigc = 0, [1], 0, 0
%o A347324     print(0, end=", ")
%o A347324     while True:
%o A347324         c = gte_inventory[num] if num <= bigc else 0
%o A347324         num += 1
%o A347324         rowsum += c
%o A347324         if c == 0:
%o A347324             print(rowsum, end=", ")
%o A347324             num = rowsum = 0
%o A347324         for i in range(min(c, bigc)+1):
%o A347324             gte_inventory[i] += 1
%o A347324         for i in range(bigc+1, c+1):
%o A347324             gte_inventory.append(1)
%o A347324         bigc = len(gte_inventory) - 1
%o A347324 afind() # _Michael S. Branicky_, Sep 19 2021
%Y A347324 Cf. A347738, A003945 (row lengths).
%K A347324 nonn,hard
%O A347324 0,2
%A A347324 _N. J. A. Sloane_, Sep 13 2021
%E A347324 a(14)-a(16) from _Michael De Vlieger_, Sep 13 2021
%E A347324 a(17)-a(27) from _Michael S. Branicky_, Sep 18 2021