1    3    9    23    ...    115    241

It seems like you're asking for the pattern in this sequence of numbers. Let's break it down:

1. The difference between 3 and 1 is 2.
2. The difference between 9 and 3 is 6.
3. The difference between 23 and 9 is 14.

So, the differences between the numbers are increasing. If we look at these differences, we can see another pattern:

1. The difference between 6 and 2 is 4.
2. The difference between 14 and 6 is 8.

So, the differences between the differences are increasing by 4 each time.

If we continue this pattern, the next difference should be 14 + 12 = 26. Adding this to the last number in the sequence (23), we get 49.

So, the next number in the sequence should be 49.

Continuing this pattern, the differences between the numbers should be 38, 50, 62, and so on. Adding these to the previous numbers in the sequence, we get:

1, 3, 9, 23, 49, 87, 137, 199, 271, 353, 445, 547, 659, 781, 913, 1055, 1207, 1369, 1541, 1723, 1915, 2117, 2329, 2551, 2783, 3025, 3277, 3539, 3811, 4093, 4385, 4687, 4999, 5321, 5653, 5995, 6347, 6709, 7081, 7463, 7855, 8257, 8669, 9091, 9523, 9965, 10417, 10879, 11351, 11833, 12325, 12827, 13339, 13861, 14393, 14935, 15487, 16049, 16621, 17203, 17795, 18397, 19009, 19631, 20263, 20905, 21557, 22219, 22891, 23573, 24265, 24967, 25679, 26401, 27133, 27875, 28627, 29389, 30161, 30943, 31735, 32537, 33349, 34171, 35003, 35845, 36697, 37559, 38431, 39313, 40205, 41107, 42019, 42941, 43873, 44815, 45767, 46729, 47701, 48683, 49675, 50677, 51689, 52711, 53743, 54785, 55837, 56899, 57971, 59053, 60145, 61247, 62359, 63481, 64613, 65755, 66907, 68069, 69241, 70423, 71615, 72817, 74029, 75251, 76483, 77725, 78977, 80239, 81501, 82773, 84055, 85347, 86639, 87941, 89273, 90615, 91967, 93329, 94701, 96083, 97475, 98877, 100289, 101711, 103143, 104585, 106037, 107499, 108971, 110453, 111945, 113447, 114959, 116481, 118013, 119555, 121107, 122669, 124241.