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

0, 2, 12, 48, 167, 541, 1692, 5187, 15700, 47030, 139986, 415385, 1230417, 3638657, 10744058, 31705658, 93563017, 276079102, 814408697, 2402076923, 7085491321, 20902994644, 61668276920, 181926014930, 536710980085, 1583529043750, 4672393755494, 13786612213841

Offset: 0

Author

N. J. A. Sloane, Sep 13 2021

Keywords

• nonn
• hard

Comments

Ratio of successive terms, a(n+1)/a(n), seems to be converging to ~2.9506. - Michael S. Branicky, Sep 19 2021

Examples

			Row 2 is 4,  3,  2,  2,  1,  0, which has sum 12.
		

Crossrefs

Cf. A347738, A003945 (row lengths).

Programs

Mathematica

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 *)

Python

def afind():
    num, gte_inventory, rowsum, bigc = 0, [1], 0, 0
    print(0, end=", ")
    while True:
        c = gte_inventory[num] if num <= bigc else 0
        num += 1
        rowsum += c
        if c == 0:
            print(rowsum, end=", ")
            num = rowsum = 0
        for i in range(min(c, bigc)+1):
            gte_inventory[i] += 1
        for i in range(bigc+1, c+1):
            gte_inventory.append(1)
        bigc = len(gte_inventory) - 1
afind() # Michael S. Branicky, Sep 19 2021

Extensions

a(14)-a(16) from Michael De Vlieger, Sep 13 2021

a(17)-a(27) from Michael S. Branicky, Sep 18 2021